{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# The Cookbook of Neural ODEs\n",
    "\n",
    "Torchdyn implements out-of-the-box a variety of continuous-depth models. In this introductory tutorial, we show how we can switch between model variants with minor effort. We will touch upon the following Neural ODE variants:\n",
    "\n",
    "* **Vanilla** (depth-invariant) (same as the [torchdyn quickstart](./00_quickstart.html) tutorial)\n",
    "* **Vanilla** (depth-variant)\n",
    "* **Galerkin**\n",
    "* **Data-controlled**\n",
    "* **Stacked (piece-wise constant weights)**\n",
    "* **Stacked with discrete state transitions**\n",
    "--------------------------------------\n",
    "\n",
    "For more advanced models check out \n",
    "\n",
    "* [Hamiltonian Neural Networks](./06a_hamiltonian_nn.html)\n",
    "* [Lagrangian Neural Networks](./06b_lagrangian_nn.html)\n",
    "* [Continuous Normalizing Flow](./07_continuous_normalizing_flow.html)\n",
    "* [Graph Neural ODEs](./08_graph_neural_de.html)\n",
    "* **ODE-RNN and hybrid variants** (WIP)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys ; sys.path.append('../')\n",
    "from torchdyn.models import *; from torchdyn.datasets import *\n",
    "from torchdyn import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Data:** we use again the moons dataset (with some added noise) simply because all the models will be effective to solve this easy binary classification problem.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "d = ToyDataset()\n",
    "X, yn = d.generate(n_samples=512, dataset_type='moons', noise=.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "colors = ['orange', 'blue'] \n",
    "fig = plt.figure(figsize=(3,3))\n",
    "ax = fig.add_subplot(111)\n",
    "for i in range(len(X)):\n",
    "    ax.scatter(X[i,0], X[i,1], s=1, color=colors[yn[i].int()])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.utils.data as data\n",
    "device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n",
    "\n",
    "X_train = torch.Tensor(X).to(device)\n",
    "y_train = torch.LongTensor(yn.long()).to(device)\n",
    "train = data.TensorDataset(X_train, y_train)\n",
    "trainloader = data.DataLoader(train, batch_size=len(X), shuffle=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Learner**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch.nn as nn\n",
    "import pytorch_lightning as pl\n",
    "\n",
    "class Learner(pl.LightningModule):\n",
    "    def __init__(self, model:nn.Module):\n",
    "        super().__init__()\n",
    "        self.model = model\n",
    "    \n",
    "    def forward(self, x):\n",
    "        return self.model(x)\n",
    "    \n",
    "    def training_step(self, batch, batch_idx):\n",
    "        x, y = batch      \n",
    "        y_hat = self.model(x)   \n",
    "        loss = nn.CrossEntropyLoss()(y_hat, y)\n",
    "        logs = {'train_loss': loss}\n",
    "        return {'loss': loss, 'log': logs}   \n",
    "    \n",
    "    def configure_optimizers(self):\n",
    "        return torch.optim.Adam(self.model.parameters(), lr=0.005)\n",
    "\n",
    "    def train_dataloader(self):\n",
    "        return trainloader"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note:** In this notebook we will consider the depth domain $[0,1]$, i.e. $s\\in[0,1]$. Note that, for most architectures in *static* settings (aka we do not deal with dynamic data) any other depth domain does not actually affect the expressiveness of Neural ODEs, since it can be seen as a rescaled/shifted version of $[0,1]$. Please note that, however, other choices of the depth domain can indeed affect the training phase\n",
    "\n",
    "The depth domain can be accessed and modified through the `s_span` setting of `NeuralDE` instances."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vanilla Neural ODE (Depth-Invariant)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$ \\left\\{\n",
    "    \\begin{aligned}\n",
    "        \\dot{z}(s) &= f(z(s), \\theta)\\\\\n",
    "        z(0) &= x\\\\\n",
    "        \\hat y & = z(1)\n",
    "    \\end{aligned}\n",
    "    \\right. \\quad s\\in[0,1]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This model is the same used in [torchdyn quickstart](./00_quickstart.html) tutorial. The vector field is parametrized by a neural network $f$ with *static* parameters $\\theta$ and taking as input only the state $h(s)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# vector field parametrized by a NN\n",
    "f = nn.Sequential(\n",
    "        nn.Linear(2, 64),\n",
    "        nn.Tanh(), \n",
    "        nn.Linear(64, 2))\n",
    "\n",
    "# Neural ODE\n",
    "model = NeuralDE(f, sensitivity='adjoint', solver='dopri5').to(device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GPU available: True, used: False\n",
      "TPU available: False, using: 0 TPU cores\n",
      "\n",
      "  | Name  | Type     | Params\n",
      "-----------------------------------\n",
      "0 | model | NeuralDE | 322   \n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8a387f7f3fe840bab05d61b5df1a4272",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', description='Training', layout=Layout(flex='2'), max…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# train the Neural ODE\n",
    "learn = Learner(model)\n",
    "trainer = pl.Trainer(min_epochs=200, max_epochs=250, progress_bar_refresh_rate=1)\n",
    "trainer.fit(learn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Plots**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Evaluate the data trajectories\n",
    "s_span = torch.linspace(0,1,100)\n",
    "trajectory = model.trajectory(X_train, s_span).detach().cpu()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the depth domain\n",
    "plot_2D_depth_trajectory(s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the state-space\n",
    "plot_2D_state_space(trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in space-depth\n",
    "plot_2D_space_depth(s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vanilla Neural ODE (Depth-Variant)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$ \\left\\{\n",
    "    \\begin{aligned}\n",
    "        \\dot{z}(s) &= f(s, z(s), \\theta)\\\\\n",
    "        z(0) &= x\\\\\n",
    "        \\hat y & = z(1)\n",
    "    \\end{aligned}\n",
    "    \\right. \\quad s\\in[0,1]\n",
    "$$\n",
    "\n",
    "This model, contemplated by the seminal paper from [[Chen T. Q. et al, 2018]](https://arxiv.org/abs/1806.07366), is usually obtained by concatenating $s$ to the state $h$ as input of $f$, i.e. $f([h(s),s])$. For a simple and flexible implementation we developed a dedicated layer, `DepthCat`, which takes care of automatically concatenating $s$ to the state at each call of the `DEFunc`. The final user only needs to specify concatenation dimension to which $s$ should be appended. Specifically, for an MLP, $h\\in\\mathbb{R}^{batch\\times dims}$ and, thus we should use `DepthCat(1)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# vector field parametrized by a NN\n",
    "f = nn.Sequential(\n",
    "        DepthCat(1),\n",
    "        nn.Linear(2+1, 64),\n",
    "        nn.Tanh(),\n",
    "        DepthCat(1),\n",
    "        nn.Linear(64+1, 2))\n",
    "\n",
    "# Neural ODE\n",
    "model = NeuralDE(f, sensitivity='adjoint', solver='dopri5').to(device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GPU available: True, used: False\n",
      "TPU available: False, using: 0 TPU cores\n",
      "\n",
      "  | Name  | Type     | Params\n",
      "-----------------------------------\n",
      "0 | model | NeuralDE | 388   \n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6b97247df0d24769873307673abb7019",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', description='Training', layout=Layout(flex='2'), max…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# train the Neural ODE\n",
    "learn = Learner(model)\n",
    "trainer = pl.Trainer(min_epochs=200, max_epochs=250, progress_bar_refresh_rate=1)\n",
    "trainer.fit(learn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Plot**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Evaluate the data trajectories\n",
    "s_span = torch.linspace(0,1,100)\n",
    "trajectory = model.trajectory(X_train, s_span).detach().cpu()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sfVHU+PS7kN3qmNRN7XQDQ96aVxS54wENwTpes1wDueSjGxVv+a2ytmwxwSurKd0aiZpXNRQJ1AsZA3kTAR+AFcm6GlHpxaFMNGwHstXtjsN7AFrrG837tlLqN4DPAF88ss6vA78O8Oijj957kX33MEye9MGB1Ar/1rfga1+DF1+U4LWjBG7UZddU3v3cVdzQmpxNVHY37axrkq+qJgSkY6o333X/NmT+aut3o+HNOu9m4kY3rcyQdxC052xUvSF4Q+5B4zHLczGP27YQdl2LNSSKhMg/9CHxi5v/j9btfk3OubldjUViPhdT/HgMDz749s+tJ/QeHzyUubQgvf7bsPtl8ZOXh50odUPkXRVu/OJKFLLliVndbXLFqUFnUDWSw3GFhJXVmtwtt/kcgTuUz7qWgjPZPlQLUeXKEiXuboAbySSgLIAV1EsZnhuBOwD/9D1H5kqpGLC01vPm878K/Bd3eVjve5go9OvXxQ/+9a/DN74hf5uOXcaE7Ptt4JbjyLaG0I2JuWtSN+sa8jIwZG/I1pi7j/q94faAua4S7+7LcVpTd3efpjTqe5mwYUq4QkvYQSDXzlwDo6AHAxl7nrc+c8sSwt7bk8/GinDzpqwzmcDFi/CJTwjxl6WocpMWZ8z0cSxBflpL9Pud4J4i9D7Vpce7iuUWbH0Bbv4OTL8H6RYURo3D7UFuTvPZqHIPnMYc7jaNUZQWv3ZZibq2vJa4ba8NgLNccIZCwFYAdQnlDLIDyA8lyA2E5MOTjck+ap54S5ls6Cbn3DsG/gYEp8GfQHiqiZ6/p3AC+A0lss4B/k+t9e/e3SG9P2GafrzwgvjCv/pVUeO3bgkxGJO2icI2JmSDLmEbBW7M7Z53eyqZUd+vppLNRMEQsjE5w58mYuND97zWH272bxTp0cYkxmvUnRC8F7GedS3X11gKkkRU8tpam0eudesTN2lprivbPPKIkPZoJP8PU5Tm+vXW/TEYwIkTEhT38MOi4KNI1t/dFWW+2+SCbGxIYNzbxT1F6A36VJce7xyqAva/JyS+3fjGy8Mm3cx0M4Pbyds8nbzGLx6AG/NKBHqVg17IusoSU7tq/N+u23y2GxIfiiKngnwG2XXID0SJo8EeQXgCnDVwQ4laZy5EX+WynRODtwbh2YbMNyVnvcpEsd9jQXFa65eAT97tcbxfURRCLC++CE8+CV/+spD41pYsN9HjJmXKsuRzN8LcmNANURpzctf/fTQw7WhAVlelWlZrSjeK32xrJgLd/UGrQruBbsbkDjJ2A7OdWacbfPduw/joTcMVU1RmtRKijmMh9zBsFbhlCelPJpLqVhSiwn/gB+DHf1wmM7u7QupXr8oE7KWX4AtfkO3OnhVy/+hH4cMflnPe3ZVAuTvBvUjoPXrcOdIDuPF52PpdOPgOpDchT6E2DYdN5ZZuYFvj71Zhk24WCMlaSvLEyaAoGyUeNObzxn9uO+36zlBIGAX5ErKrEmBXJU1RmRiiY+BtgjOQ4+mk6X2+J6Z/yxbiDs+IavfWwYtlglLsS9S9RqLoq0LW7/G+RVUJiVy+DN/+NvzJn8A3vylKL0lagvP9tpBJl7y7FdjM/M5EaJvl0K5vcqO7BOv7t5vY4U+bx48GzVlWS8JmW1P6Nc9blW0sAt0cc6PUzbrdoLnupKNrRegWroHb0+q644bXTn97PeS5vEwXtcFA0sjM+Q6HQrpra7L+cimEbaLXTaW7jQ3xpz/8sGxr1rt0Sfqif//7MlkbjSR4zpD7/ZaH3qe69Hj7qGs4fB6u/S7sfA7mz4saLjLahiimv/jRlDMkOM01EepNHrkyJN4EsXmjhsw98aUrV4jWicEby77KHFZbkO9LBTm0pJgFZ8RkHoyF1CmhWEBxQ4LhFGJqH12A+DT4x8Afi+LP92B5WdLXVN2Y8UcyIbDutdu4x5uBiZ6+dUsi0r/6VQlsu3JFCMCQURS1udfdaHLz2ZBfN83KmNO7Jmzj/+5OALokbhqJGGLtThiMCd0o8a4f3rbb8rDGvF5V7b5NQJ6Jxjevbs13cx5HEzZMGpwZc3fs3cA9E7FvlLaZJKSpvBeFbGcC4d4IdS0TqSQRk/jVq5Jq9rGPiUn8wgXZz+Fhu0+j6i9dkonY888LwW9uStGbj30MPvUpmSxsb0ulukuX5P/9wgvwpS/BX/gL8LM/+/Z/U/fak6BPdenx1pEnsPtVuPY7sP8YrK5C1gSYvULgJsgNWjWuQA0aE3nUFIu2mnSxrCVO22/85gF4YUPmofjEvZEo87qSZizpLpRT8YsrH/xN8DYgOgHOWCYL+RyyHfGj17kcPzoN0XmIT4A7kQlCsWy6tM2bOYglBO4OZVm6A9y6PRC/xz0P0wTkySfhscfgK1+RSm2Hhy2JG7VnFG03X7qrtru500aJdyPQjY9d6zZ20gS/mfzvruo9eozuxMGY3aElcEOWZkJhgvGGTXkEk3pmUre6qWiWJeuZiYh5HwzkZcZrzslEincnLGYSYmrNd4vDGMuB+X46leBBU3O+m4v/Rv8v8z/b35f/1dmzoqh/4Aek5alltROA/f22F/p8LuR96ZJMCDY2hNwfeAA+8hH5fmtLivxcunR7/MPbgdL3YB1oAKXUrwILrfV//1rrPProo/rxxx9/7wbV497C/Lo0Rbn5u3D4fciaKm6YvHG4nchrZA7bmNWduGmK4kmgmlWKun4lit0GayCR7I4LKpbAOG/UqHEF2bQx5+9DnYJ2RGUHmxAcb8zqMeiVrJvtNutp2Ud0FoKzEB5ritDYMinI92RM6Mak30w88n3ZR7UCXUFwDB76qzLReA0opZ641wNM7/d7ua6FQK5cgSeeEDX2zW+KPzZNZR3TXtMocaNcDXHD7YVeTGpVN5WsG9DW9Z93zdJp2u67m5JmiLtrWjfHh5a8TRBZl8RNJzGznnkZtdwtG2tyucOwVfi+L+RuCrOY7T1P1h0O205l3SptXSuE8dMvFhJ9bkz+Rp2bvPguuZt0MUPyb9ZEb3LPz5yRKPZPfUrSzUyOuklZ29uT/ZuiMaay3WQiqW3nzgnR+76MZ31dJnKvh9e7n+8Zhd6nuvR4U6hKOPge3Pgt2P5iU1P9sCncUndejQJ/xUcOEDZm8hjcxqFX5xJJrhTgSOS4HTdlWt3Ghx4L2fpjsEKoUlhchXwb8gVYGvCboLVjEJyEcE385cU+LF8S03udCzmHZ2H4YBOhPpB9l/MmB37aDNkVJe4MJZI+25XUtrqS0wo2xIQfjO/FKPceDYpCHujf/a6Y07/6VVFj02lLZqNR6xc320CrQqElbuNDN722jRnbEHq3kpkhMWMKX61uD5jrVn7rwpjHu/5wM1FwHCHXOG6tAsZMbxq2dEvImmpthvRNLjbI/k3pU99vx1hVcozJ5HbLgyFycx26JvggaH3mZ8607oH5vI0mXyxkjOOxqOQ0FXVsGrCYznGmDO7r5cKb7nIHB+ITf+wxiXj/zGfEHD8eyzjOn5d93bzZtmKdTuU429uyrSlbe+bM7ROpt4N7htDpU116vB6yeVMA5ndg74lGFSedlDND5EfRBLfZgfi+Ha8xhxeQF/K32xC4ZYi+Wd8NwR1JJDpAtg3L56A6aEzyrqhs/zhEJ+XdGUI1g2QLsr3Gh26DP4TwERicE9K3A7EA5LuQXJXzqGshdyeWIjLFXPzm5UJy3K0Y4lNNalsgfnllasf3uJeQpnDjhqjxL39ZHvhXr7Z5z4bcjI+4Wz7UlCk1CtuYsU2LzrpuI8ehNaEbojdlRI1J2RC7OZbj3B6VDq2/HG6PVje+c+On7ka8d8uVdtPcoqj1c5siLWbsZlJguqkZv/dqJfs/cUKuTTfIz4y/O1ExZG4IP01bC4exRJiubZYlQWdGod+4IRHnWSYqeTxu/1+Hh223tem0NZ2/lnJP07ZD3Y0b4kb50IfgR3+0TWeLY3joIVk+m8nvYGdHJgTXr4uKN1HwP/Ij8PGPv/3f3T1D6H2qS49XxewK3Pw9uPWHMHtGSDJPaQvAGDUOrTPZAnxR0yqEIJRlVQplIlHrtQ3BWkOgkSh3U5HNjcBfE8LMZ7B4SXzexUKO5UQQnRJzd3Aaws1Gje/C4pkmGC6TyUF0DoYXxbTuxTIJqPImB37aKG4lEwE7llMoprC8IhH5dQHuGkQXW9+65ch36bYoeV3zSmBfj7sGk6/84otS8OVLX5Jgt50dIQTXlehoQ9jGv2uqh0HrvzbtOMOwXdeYlE2qmCFZo+5Nz+6usjTVzY76vw1BdnPQjxaGMQrbmPlNRHu3+YpJYzNjMPnwXRVt9tWtf95V/2HYdknr1oLvlpo1E4NuTrvrtj7w0ej2sq3dJjLGqmDbotQ3N8WHPRq1JJwkopB/6IfkOAcHbXe2vT25rqYf+qvBBOMliaz/3HNC4o8+Kr72IJDjDYdyDBBiv3JFJg17e0L2Fy/e2W/wniH0Hj1eQVXA/ncas/pXxGSdz5pqaWaqXNGa1A2a9qR2KOSJJ2RX57Kt44mv2Y1af7gTCZE7YRNwti77Xd2E9OkmZ7xs1PiG5IEPToN/RnzpxUyat2S7QsQoUfWDD8PgopC+7cnyYgZ50+hF1TLh8CZy7CoXC0C2K24FC0lVC07LudgDOd1yCVkipG5HQuh9ytpdRVXJw/jpp0WNf/Wr8tk0DzHNOIxKNdt0a3sbxRmGouiMSb0bdW7Is9vKs66FaExeuCE6Q5qGeLsm+TBsTfNmnyaVzfTlPhptbszknif760bUd7uPad1+Nn76bvU1c16WJeRu/OLd2vBdl4DxOZtAOqVk/OZ84vj26nfd/ZtCMEbB7+zI5w99SFT51asyhs9+VoLVVqu2IIxSEvD2yU/KJMD0hd/Zkes9m736b8EQu0l7e+EFIfZPf1pM8tOpjHk4bHPRt7bE9L619dbT7I6iJ/Qe9w6yWWNW/23Y+yaktySP2xRhecWkrjsvG7CagLKB5IXbtkwKdKPGlQdB4wd3hkLkdiiE6ASNGh8K4c6ebdR402XBDiA+Dv5J8X1Hp0BpId7Dy41fewV44tMenIf4opjxLVsUeL4rvvGqkRPOoPGde+JKWL7c+titEAbHxb9uNdaDKpc89rps3AaRHD+9Kddk4zPg3WECa4+3jLKUh/aTT0rBkG98Q1KVkkQIZTQSQoE26twQaLchiFKtCdqY343f2kwADEkbxb5ctlHmR1PVoD2WST8zJvtuPji0TV2M0jWK3RBkVzEbBd/15xvzvXEXmNrvWrfm8W4HM2gtEsaVYK6lUddKtYrWstqysN3IdnMu0EbAG5I3bgtD/Ht7cr2OHxdlfnAgEy7HkUjzCxfk2qep+Lpv3hTlvrcn1+aBB8QXbvqqX7okJvL5XJa9GgyxL5cysbtyRSYSn/qUELyJmDdBcH/mz8gk4MSJO/tN9oTe4+7jNrP694Uk8xQwRG5ecDuRN2Z1ZyABbJaW4LiybEqvNgRvDUSZG7+4FQrhuhuy3vIGpM9IZHlViOr11+UVnhKSdicSuJZcb5T0HlBL4Fr8IAweFD+65Qvhl2lT2nUq0ejKlrQ1N5KxZ3uw3BUXQF2I2o/Oy+TCHSDWhUzM6rqSc9Q2pDckCh4tY4ovyKSkx3uGspSApm99S4j8scdEYRk/8HgsZHS0IMvRWuqGeEx0uFHkRqUZ0jRBZUUh5GCKwphjGYV9VM2btDCjkA15ai2EkiRCOkbVdxuwmOC7srw9eM6YxU21uKK4PdremMShbSfajdo3fcwNAXddCCD7H4/le+OfN+4Hs55xI1RVq+5NJLshcstqSTOKJLUMRDGvVkKcDz8sylwpUdyLhWz7wz8svuzpVAr9vPiikPt4DD/2Y6LaX3xRisNsbckxjJXkKIyP3ZjiX35Z8tF/+Iclwt1YDjY3JQgwfO1klTeFntB73B1UBex9W8zqO199HbM6tCTe1FSnUdhOU6WtKiQtrKKJYh+KinWbp53dIX13TUizWMLsRSi2xApAYwKPj0nQWnweglOiiPNtWDwNSZMTjiXm98EZGHxE9mfR+NEPhcjLpYzfanqWW64Qc9oEy5lgPnddgtzcoZjqQSrKFfuNLTaWKPzFS7Kd5UvwnbcmFgBdgS6b69Lj3dSW54AAACAASURBVIQhcuMf/8Y3RHnleesf7xK58Ud3+2uDrGt8vobQuh3HukRviqHs7rakZYK/jlZm61aTM6leRsXadpsXPZ+3pvEoul1RDway3JjLuwVozIRguRSyDUMhIRMcZ0zxJg/dkFOattH8QdCmh3WL15jJyXDY5pSb1qTQBrkZs75pmmIsGd0c9SyT61XXor5PnGjN5XEsaWbnzrWTBpP/H0WtVQBku81NUfE3b4rZ/fp1We9TnxLf+MsvSwbDtWui1k3621Esl3L9TcT9pUtC6h/7mFgObtyQ35YpM/t20RN6j/cW2QxufRFu/hbsG7N6csSsflSRO4DdBLlF4IfiT65zIVjlNHnlTaS6NxBid5qWo24E7qa8L2/AzhNQ7oiaV016mFHjwwtCmFUC6Z7UXs+mEtVuBaKIBxchfqBR0s2TKd1v6q9nSODcoAlgc4XckyYlrU4lxz04Bf6JZuIRy3nnB6LKlSdWhfIAli80Ee5Ro8aHck2UkqI17oS+Uty7i7IUJfb1r7cR61euCBn4vjz4w7ANWjMR4ib4zSjWKGoj202xla5v2JjUfV/WXy5F+Rlla4qtmP2ZdDQQ0jVkEEVtbXetRX1Op7IvE2BmAtxASGwyaZd1feTdRiRmLCaHXKk2Atz4tsfj1s2QJLKdifQ2ueXdanPmGJNJaznIcyF2o+q7XeDqWs7PWDKMQjcTnP39Np/74kUZw9NPy7rnzom5ezyWY02n8r3jiFI3170L224tLufOye/gxReFyF1X/OIPPyzK/8kn5XdhUuVMRoOB1m2nteVSzPbPPy/WgIcflmPcaVmY/knQ473B7DJc/z3Y+gOJVs+NWb3gdgLv+sktJHfcBLI1djqdSzlWxwN7iPYiakZUKqa2IzQhWkVoNQRrHVVUsLiMSrfEV61LlO2jnE1UtI6KLqCG57C8EKvYa6Lpd8T0rxDSHD4Mgw9BcAKUJePM5xIIV8yBUkzi7lhIGluawCybXHVycEbiZw+Pif/eDkSp53uitK1Qtku3INuSZfYQ/LMyMaEC25EJh1KNa2IPxg83Y+rxTsIo8scfb03rRpH7vqQ8GSLvqrKjNdUN0Rklm2WtsjbEGYZChKuVEJIpJ2oitI1J3BR36ZqYDeGYoiam2chsJgSUpkJ443FrDbAsUYZra7cr7G66F8h6xsxviNlxhAzTtCXTyaRV6wcHcpzBQI5pztlYIAyRR5Ec3/OEBI3LYn399lx8Y8o3pn5jhjf76Aa9WZYo6slE/lf7+zLuhx+WmuyuK+seHraTE1PV7vVgLAIPPij/9498RIj90iXZzyOPyLJnnpFa/NeuyTHMJKiLupbvDLFfvSoBeJ/+tOzjTtATeo93D1UBu9+CG/+fmNWTl0WlliblDFrzejs1rWuPvBiSsUZaDViVEavMZZXZrIqQvIjIVExZD6lURKn8puKbj7IdLG+I5YTY5QyrvIVT7WPVCss9ies8gBOG2OEGdnQcV23iFhXOzh5W+SJ2uY+rFziewg4ewh6fwR6dxw4m2FaBozV2dQDZYWtWt0Nw1mQMddkUgdlrmrHU4qsPj0vOuj0E2xLfeXqzcahGQC5m9eJA/O3umpj+lS3HcOMmAj+Tkq/ZrrgorCaSv8c7BtP56oknWiK/dKk1M5882aZQGcVporKNWd0oYUMWxj/eNTObQDhjht7ZaYu/dKvGmW1N6VQh+ZqNtYrJpCQKa9A1VVGznGn2p4rdbYu8UgwGsLleU1c2WWLh+XD+DGyesMlym9XKfiV4zvivjQl+PpfjTSZCZkq1/bxNidaNDSFlxxEfcZrKORvXg+kOZ87b+OcnE9luNpPtqqpV6UaVm3O3bTm+OX8TGW8i+U3k+alTbfDak0/K/+Chh8TsbtqgHhzcPnE4Gs3/RjCWiAcekFS7D32oJfb5XHLIP/IRSVd88kkx0S8W7XXoIs9lwpEkch2uXJFJlklrezvoCb3HO490Cjc/1/Qd/3bTqGQJWtS41jVlZZMVDot0wjQZc7AcMVttcLjaZJ6usagGZIVPltqUlYNWlihgx8FyXFzPxXIUju1g+wrHcbCDGM9RqOkeTnUFygRFhWUNsfxj2G6E8tdxrOPYKsBOE9zdKVa1h8chtkpxvQFOdB7LOotrHcMtfOxpiU2Jq+fY1RSlc1EI/gTHj3CVjVOucFZXUcWBqG7lSGR8cKI1v6tKVH2eiqnfHojCXzwt5K9C8E+LTx7EQOE0QXLlHFYvixugSCSCX2uwRvS13N8Z1LU88L/1Lfj854XITRBVEIhp3Zh7jc8a2jQtaIO2jB+0u243qMv4e1crsQKk6e2pXI5doeucdFGSZxVVkeM5OeMwZX20ZG2YEPg5VlmQ7dpMZw77s4D9w4iqspiMMlynYrXySRcOYVDz0TMLNtZqVnnI/EaIVg5oB9vxGI0csF209jicu+SFw8aGkLZlyXWZTlv/vyHyIJDJz2wm654/L+dtTPHGGmAmKcOhkFZRtBOY0Uiux2rVErkxrw8GjUcrbaPlTWxBksi1C0NRuEEg5GpM7g89JMdynJY0tW4tDW+kyt8IYSipZxsbMmkwpvjFQvLPP/5x+Q19//syzsVCSP/oby5J2uC5L3wBfvEX3/6YekLv8c6gruHwBbj+O9LpbPYcZFPqPCUrbJIsYmc25tr+KW7NjrMzW2OWjDlMxiTFgKIOqfFwLIVSNbaV47kZnqPx3QrXdyTC1gfPtbBdjW1bOIGL6wVYKkWlVyGb4ugErBoVuChvIK/gOE68huM61Nkc0m2qbE5ZLlHUpN4aeBso+zQWQ/wC/EWJM19h6Tkec2ynwrYcvGCIG3iQWqhkjlNeRxVLlCpwvAFufB53uI7rh7iBi6oLKTpTl6Lmld+Y9I1ZfQDRhcZUr8Ws7h0TM3p+CPNnxbJRNO1fjRsgPgujjzYqvsfbhfEzf+c78kD92teEyOfzlsgHg7asqSGbbi1xQ8ZHm5J0q6MNBm3edJrKQz7LwLZWDMOcUC2w1Ip6npCscvKVBp3jOiUb4ZyNwSGTwZJBkFMXiuUy5jAZsDsbcTgPKJVmEh3gejVpFjCrQ0ZRxsWLO2ysFcwTn/29AE1KrTMcy2IQlTi2Q7GymC8i8tJnMobxCYXlhUxnMftTD8f1mEyEKDc35VwPDsQP7HlCbEHQRnsbdwK0AXGGXE0aWRCIqjbpd+Z6mnx5E+BmrB0mwr6qWlfCuXOtb/uFF+RYH/6wKOg4lnX39mQ/nidWgDttgHIURrGbrmomeK4sJcf9E5+QBjzPP9+a/JPk9n3UtUyY9vbubCw9ofe4M+QJ7H4Nrv02HHyDbHqT6YHL7tTn+a1Pc2n7ArcOTrK3WCMpQ/Lco6hceQjaFp5TE7gFjl8TuwmevSLwSny3xvM1nmfjBw6WU+G4HrZroxwH5Y7AdrCKQ/Ryi7qaY1FgqRocHycIcMJ1VHQSOxziWhk6P4DlPqqaoXSK8l3s4QgVn4DwlPjgqxqUplglpIdLLJ1hqRKcGNsJCUIbNytR+4cEah/PXuCoGjccY0frVP6I3IpQmQWLFVSHuK7G82Nce4lXvIyj94HG3+5tNoVnKlHi7kQsGelOE2cwgzqRSHZlS5344QUYfkTM+Lpon5w93jKWS/F7fu5zt9dZ9zx5QA+H8rDNslbRdXt6w+2Ryca/bUzHrivfDwZgWzXJMmVnb0WRpth1wsCZEVl72EVGVVYsM4cs99FoQj9nfbLk2HDBaJQThyVaBxyuNthfDNmdDZgvImplsz5ZYauMZeaTJj7jYcYPnbvKxjjnYDlgeyemqhW1VaCUy9qglKAzLKaHDlnpMhmlnB4tcBw4OPDZPShwnDnDyGJjw2XzeMxwHLLMAi5dUigl12htTa7jdNpG+JtrFcftJGB/v43WP35cvjdpc92ubqNRG0Bn1LhJVTNV1UYjiTLXWoLekkT2efGiHMu2ZUymAMx43EbMvxvo+tiPHZOo9WeflUnbZAI//dMy4fjyl4XsTUnZo6luzzxzZ+PoCb3HW0ZVQbF3lfTqF9h5+jFuXN3n2o2I56//K1zaOcPubJOD1Zi89CgKG43Ctmosq8K1axynJnRLfLvG0iml1thlSq58NB5VpcgtcEsL1wJn5eD6Np5ycKwIu8pxsgPsaofQnuGoHNdX+KGPdsdo/wyVd4JCh1Al1Ps7kB3icohjFdieixufQ8Wn0eExytrGosRRGY5ziKrmWEEFAWgrpKwn5LULRUJyMKXKljhWxsKxsPyzBPEEOw+xtE9QlvjMcZwUz3Ww7IAy26eaXWFZ5qA9rPAiXjzAszReXeMGE5QTSXpaclki5sulpOLVSABd/ACMPgzxQ9L9rVhIh7l0F07+WB8U9xaRpmIi/dKX5PW97wnhWJYQlPHnmgeuUY2GYOq6DXaz7dsj1kWRa+IwZRBlWOWMdHvKdD8jX+W41orYmTPyZigUZW4zy2KyKsRWEA8KNoYJG5OUjXFGFNUUOmR/PmLvcMDBPGKWxChtsTZZYfmaxXJIrX0m45xHLk5Zm1RM56e4MbOpippKVSirZhRmuPaSUrvMFiFJ6jOMc04eX+G4NfOFx/ZuiLJsBlHJ+qTm5MmSKKgo6y1efmZIXsVMNkI2T0bkVcD+vrot396koY1GcPq0XOtr14TAxmMhPFNCtdse1lSTM2lu3SpyWkvwWFWJKf3ECSHGW7dkvUceESuBcYns7raqfzJ57+a8pqBQHMt5Xr4sin1/X8j+wQdFrX/7221J2a4Zfnv7zo7fE3qP14SpH71ayetgN+fyd5/j0pPPcu2lBS/eDNje/0kO50NWRUBey13jWDWOleO5OaG/IvJWhH7JIMiI/ZwoLPDsHMdOsS0xnSvbRSmHuqn0ZtkWlnJRro2yQ2rXJcuWlOktrHKBRY7tWCytTRzPx9ZDLGsD15kQqoJY7zLgeRxrHz9OILYp1AaJ9QC5c4bCHkIFalHjssRRM2qVUKoKLI9Cj7FsF0dpfA6I1T44KbUqUYOIVX2c0p6grZBZ6aKKHNeaszyscX0fRzlY5S4+B/hegRd4BPExLD8AXVPogLScQGWhZlO8+hI++3jWEs9JxS/ur0N8DsYflRarqhLT++H3YPG8RLlbDmz+qJB8jzdEWUrw0Ve+Al/8ovjLt7eFhLrpW6alKbS51d2+4qagizHDA1TlCluvGKo9htUV1OEB+a2cw2XAqghw7YzYSxh5SyxbUZQey1VEXg2xbBgOCjZGC46NV6yNC4ZRRq5Dtg832FuMOTgccJgI2W6urbBVznQVohc2k8GKRx66yvH1lP3ZgJu3fIpKU2mH2oVRBJ5XUxYD5gkkS0UcJlw4fYhjK9Lc5fLWiLKwCMOayWjJqWMrorjGc1yu746YLkNGccnZU7soXTO9HlISgztB2xHgvFKW9swZIdOtLVHJrium8Sxrr203gDCO2+WmUI2JajctSNfXJVo9TSX3O8tkwvDgg/KdZbUEqZT8L020/nsN2+aVGITjx2XyePmyjO/Hf1wC5770JVHtrtv60fta7j3eEZj2hybV5dYteV2+DJdfmHLz5Sk7t5Ys5op5+gny0kVrG3SNbVU4VoXvZQRuRuCvGDgJw3DOerxgOMyJwlyI3V0R+ysGUYHnVIQBhJGL4zu4voW2Q2rtkzOgYkJSOBSLXdLlgoKCqtQo30ZbIbbvY/tr6HAT24lxmKPLWyQ7Sw5TCRqz7JPY/oBwsk68vsFkzWbTX+Hah1AlrBYrVsuaVWqzIkY5Pq5r4Vk5VrGFnc/Iy4qVVlTWOm6wjusHhFGE65bocoEuMoraIc086rJktbdFVSS4nsXKW8dhiFsr1ErjhRH+IMZXGWG9hSoPUOWCusqZFYAKUP5Z/I3zeBsX8QcTXDuRDIH5C6Lgi0Si252JNH3p89DfEHUtxP21r4mf/JvflN+2yWs2BN3tTmbSq7oNPyYTcJ2CIl2ymifUqz3qdIFdz4jtKbG/j2uVJHnIbDVgVcS4dskg2GMYpDi2oqgjDlZDiirEshXxMOXkZM5kmLA5ShgPE8rC5ebeGtvTNabLgEXigJWxPpg2pV8HVCpmMir42MNbnNysOZiNuLq3SZFBUcnsIw5WRGFBXlrM5xGLlUMQaM6cLfG9kDTzubLtkaQQeSXHjlecOJERxxZxZLG167G95eL7Ky4cP2QQ2xwkY7LSp6pKVLVAZzNwfOLhGpsnBpw4HbC7K8VY8lwIzbZvb2xiosuDoE2zMwRuCsgUhahwpYQANzbkf7a7K/+zhx+WiYNJHdzbayvXGcvJ3YbvyxjHY8mOeO45ea6ur8Nf+ksSt/H1r8u1ShLp0nYneMtPgqZXeaq1rt5w5R53HSa61qS+5Ln4lra3xc+ztSU3jWnpt7srs+H5vCBdrsiykiqrKcuYGnFC2arCtSpsq8R1SyInw/NSIj8j9FcETiE1na2IaTFgPi1QU42yNI5S2LbGci1cx8YNagIX4qhmEJcMRjajkUtk7RHblznp3WC4fog6rlEqoGBM4WyQOWeZlSdZrlxWixVVcpU0W0K5wvNLhgMfN9rAG5+gstfJcjg4hL2diqoscUkJw4L1CUwmDifPOtiWJk/3mO0nJPOCrKxZ6AA3GuCP1vBsGzf0qHJNMpuTF1rOwQkI1AHr9jaaCr3mU9oTkmxCjWKVOSzKAZ5n4ywWWLObeHqGKlN8N8H3K4JoSLhxDAYPoYbnKStFeriAm9/DWr2IX+0SeCl+FGDF55Ce7XZTq/7t/TY+CPey1uKvfOIJ8ZM/9ph00DK52cOhvGdZW1LVssBzNVqnWHWOQ8LI2sWrp5Q3l6R5TlnV1LrAwiL0VwzDGY5dkuUh+6s1kizEdmHoFQyjHNvzKfSE/TQiKwNsRzMaJByfzJmMEo5NEibDnLwKuT49x62DCbOFz2wRoizFeJJiOQVJMqaqXCbxnE889F1OrR2ytxxz9cqAtLQoK6kpG4U2YVij8ZgtApapg2vnnD52gO9a5JXF9ZtDDheepOKdqjk+SVkbpcR+xnzl8fRzYyzb5sSpkmPrNcuFza1tTVVPZUKpBtRujOdqxnHCAydfJM1DXnpqk2U5YTgOOXVK3eYrNrXfu+VjTe12EwinVBs5f/y4mNhnM0kDKwohyIsX29z++VyUr1LiLrnT8qnvNJSS39lDD8n4Xn5ZFPt0KilqFy/Kb/PZZ1+9uM1bwRsSulLKAn4e+HeBTwMZ4CuldoDfBn5da/38nQ3j3cEv/VLb8s7kMJpUE1OUYDSS14kT4oM5f15SEE6efHeDKN5JGL9dt4+vec1mQtQ3bwqJ7+7Ku6lmZKpNtTm1Kyhraq2bTHEbB4WlKmy7wnNKPDsj9DJCLyH0EyIvw3cyfE8i0gM/x7FLWebkuG6Fa1c4ro1WAZZjg+VTa5daeRQEzIuQxdSm3p1j1UtsHCJnHd9bI4ws4qHDYBwy2RwxGUYMvAUb6iWcahvSKVmuScuYZXmSw/ICC32anIDDeY2tNK6aMXAWhKMUzylJ8oCsGrB1GHBlu8aqFgT2AaNwyeZ4yYVzLk68Sa5G7M9HLFcOWVpQzRIcRxOENpG3xKkPKOYJC+1SsY4bDnBdF88tWR86aCeiLjV5sks2n1MWOXmes6praf+oTpMEJ7Hcc9jlJv4yxVtsE+tLhMUlKBZoHDI1YVWdh6WDWyr8wCXwLFwf1Jv0n7+f7+W3g+USnnoK/viPRQU9+6zcD0Eg/s0ogqqoSJMUXWVQLPH1AqVXaJ3gUhK7+8TBnGphkVUuZW2/Ugcp8jLG4RzXKUlyj4PFJqtigO0oBsOSQVDg+oq8GDNLQ7I8xHJhNCg4vpmyMcnZWNOsjyDNYy5vn2BrL2K2dJmvfKgtRvESx4XlKqAuIgaDgo9fPOD8mQUHi+NcnZ9hlWvSpMRWBb67x9CX6jCz2ZAkC3Bch+ObNUGgqMuArX2fgwMb26k4MUnYPJayvgaD2KKoAp67tkGa1qyNEk6uLyhVxK3dSGJNbIVFQVVk2PaUKIBzZ23C0ZBbO6c42Fthq10eOLFF5WyymG5SqwDbUa80bjHd0/K8LRxjVPlqJSIjCCQVLY6FAPf35fNHPypmdt+X7adT2ZeJZ7Du4VASx5EJisnff/55EVWDAfzUT0l628/8zJ0dQ+k3qDWnlPoC8IfAPwe+p7VUsVBKrQOfBf4d4De01v/ozoby1vHoo4/qxx9//DW/v9M8w6MwJQIffFBMIz/xE/Dn//w7nwZhYAo8GIWdJELOt24JQe/ttTPZw0N5N00ATISn8c10y1J2WyoKUuQpVb3ycihxVUHsrxjGc9YHh0yiKRvRHoMwI/QWOI7CshRolwoPjUtVKWlsWmtKfCxbYdsWluNjuwrLVYSuwgtqHM/H9T3caomqDqjzFUVRoYG8DMl1TG3FKG8N7Q2wbRvfWjbR5TMiZ8YwSpmMFJMTQ7zhWYLJBM+z0VVBsshZLlYsDksO5xarlUNJCLaH4ygiZ0bs7BG6S/KiYpWHrKoNVtUGyvLwI4fxMOf45ICNtRW+q1gkHvs7CfPDFVVRUePixwFBGOD5CmUp0nqNunapihSPPTx1SOAscVWKrqG0h6TqBLl7gco5Q6kt7DrBq29iZ1dxy320LnB9Dz8eEEQhg6bGtHJjirQiX82hXGE5Did+6CdQ7mtP7ZVST2itH30/38tvBVkmCuhzn4M/+RN4+qmK/f0cS1WMogXDYEaV5VRFga5z6qrCt1ZYdo3SFcpWxP6MUbikLh3y2qGqrYbHLTy7YBxN8eyarIyZFWOW6RBLWQRRzSDICNyStAxYpgFZEWDZMAoSjh+bsz5asjFYsj5ZUdQuN3aOc3O6ySwJmCchaIfhIMOxUhYr0IVFHOd87MFdLpxLWaRDDpceq9RhmXoo2yL0LKKoxCFjtihYzhWuUzMYaqLYRVseuwcRe4cxtqMZDyqObWRsriXEfoFlw9UbIw4XLnGkOXVK43ma/X1FlteURY3l2NTaR9k2vqs5eSzh5GTK7p7F9jSmqCM2Tw2IY4fVPKEqUlAWTjxBe5sEcfhKAKGpSW9UeV3Lsy1JhLDPnxcSv3ZNvjtzRoSWySYwqtyUZg3eZyEkVSWTkUuXxI8+ncq5/NiPvXG1OHM/v+p3b4LQXa31q/SReWvrvBt4vYdAktx9hb2+LkrAFPmfTNouRoZYu4Rtgs/StK35a6wLi0VbpKKu26YE0M52j1Yien3UiECrsahQlDiqJPBKXCcjcHJCP8V1Sjw3I3ITAmfFwF8xCJeM44RxkBGHGZ5fETozfK8EXPLao7Y80DEpIUUZUmopZKFtj0qH2HYNZUpVzLCqFa4qcF1NECic0McJRuBtUKkhWVZQ5yl5uqTME3Sp0crGciK80QQ/GuGGIWFQEgcFo3DKenyI6yQEboXn+9ieT1YGzOaa5TRhOl2RLi3yErQd4cVDooHHYOgRBJoiK1ksMpLUZ5X42CQEziFrg31ObizYWLdQ/joHyYiDqc0yG1JbIVAzcPZxmeKwoMwL8lRRKxsrGOOPj+OOzxOMNkDlsNqhPLzOav8WeZZR1i5aBXjRENd3ZELketiWhauW+PaUQVDgxz5q8AAqOsfw+Prr/qc7hP6+vJffEFUBVU6VTLn6/E2++MWML37Z48mnYrYPItApkTNnLdpF2TarIsCqK7SysK0CZWksNChN5CeM/Tk4kBc+lbaoShuFxrVrxtEC3yvJ6gGz1ZhlNkTZDmFQMYxzfKckqxwWS5es8HBszSBacXxjyeY4YX2w4th6Tlb5XNsdcXNnjfnSYbGyAYc4zMCCvAyodUQ0qHnkwSkPndllOa+ZL2vmS49lFmLZAV6gCL0C1ylZrXySIgBbItcjZ05dJBzMbA5mQyp8CdLaKDh5oiIILYKg5sZWwPaui+8UnDyWMRlXTOcei6VHqT1sW1EWGuoCxynYXNecPQOF9rmx5TOfVUT+jBNrCWnuUaoRpb2OH9hQzHFI8AKb0t6kdjfxI/+VJjKOI+S8syNm6YsXheAvXRKRsrYmy44fb/PSp1N51sWxWFffaeH2XiJJxCJhctc//WmxTLwe7ojQ72W83kNguRSzuWlAYFoWmhrKBub0TR3j7rL7DUoBeoWtwFIFys6J3RzPThgGc8bBIeNoRhwu8JwCy6qxKcG2KAqftIjJi5BSe9TaQqkKx66JvQVxmDMaJGyMUtbGOYNhRRyBY1vUKqJ2BpRFyGqVkidLVmmBLkq0VWPhYLse2h2TW8fAH+I6Cruc46sDrHqOby+wbCj0gMJap7RPk6sBhbZRVY0ucjQpvpUSBBUuNcHAJopsxuOKkX+Ap/bx7QTfWaLsgEKvM8tPM88iDpcRWabJsxxL13g+RGHGyN/HqWZkec0yHbDIh2T1EM+xCOOaE8cdTp6ESTxleThnbyfnYE+TZ2L+8GMffzTBn5xFRWdJMocqS9DJFn55CaeaErgpXlMEp2BMWrrkuUNeRdRljsMS11riODZWsAbxGTzPJiivEKgdTn/m30RZr/1Ue70HwL2CNyT0x/872P28NNQpEqmTXydQrajrBTvzIV979lP80VN/lm9d/iRX986iKwjcJcN4iufUZEUEdUWNg2sVKFXjWJpKQehnrAV7aGyq2qWqbSptU9cOrqOZDBM8pyCvYxbZgEU2wlI1vlMwjHM8L6MoQhZpQFYFoBxGccGJYwnHxgs2xguOjw7ISpsr2xOub0+YL3zS0qeubcKgQqmCPA/QyiaKCj78wC4feuCAvAw5XK0zS4fMFw6OtcTVK3x/QeRWLLIRy2KAZSniICUKa7RWzJIhe9MBZV0QOXOOT/Y5uZkSD12CKGBv6nNtO8ZSYpI/fixnvlBMDyvq2kXZirKsARflOIxiOHdqQeTlXNuyOTiMcFyPU6dAW4osyclXCa5V4LkWtTchHG1Qa025muMwx/FDnMFJ3HhCWTtsb8uzpUY2WwAAIABJREFU99w5UeYmpseyRKWfOydEb4r/mGYqk0nb/e39jqqSIj0vvywFakyO/mvhHSH0xlz3k1rrmVLqPwQC4H/SWr9Ks7j3Bq/3EFgsJAqyS+jGxGxUscknNVWNur18u+0PzTYmsOz9BJnIFLh2iVIF/z977xarW5bdd/3mdd2/y76fW52qcrXdthsbx3aMLdvBjqJYVkAQJQ8ESEgEARR4BSFeeABBXhA8RCgiQnkKUhBIyIiIYDktQyInhjix202n2+6uqlPnsq/fdd3XnJOHuXfVqaa7qst9unFFHtKnvdfa65vfZa85/3OM8R//oehIdU2iW3LTUmQ9qe6RymHFhNYDxoxkZiCzHZWtSZORKhuxScyjT6OjnxJ27ZxtP2fTzRjGktEbpFJo7SnziVk1Ma8ky/mOZfqCZfqcXG0IYcIFyxgW1P6Qzp/RiyMmkSN8g3Q7pNsiXUM/SITSCFuh0gPSWYVUKUk2IZxjGhp839J2in4UuKAIJAhjUb7FyB1W1Fg9kJqJaqEoFzPyKiXLU2zisbIjTFHRbrNN2O0mdquarpmYvMZYTV6lFLmkqBzIlKbL2bWa/aomTA2pbphnGx4crzg7nZDJEVfD93DZvUk9LAhhQk9X5OFdMp4gXEc3ZAzkBFWhtcIkiiQ1JBZkaPD9jr4XdL6kVw8IakmYNiTTO5jpCkWD0prP/eKfRthvHnP8+gXg0zaXAfgb/98NSwiw2s/5v776h/g7/8/P8Ou/82O8ffmYfjSkpqNKV1g1MJKDC7ggUDqg8CAdRga0Gpmna4TyTC5lcgbnNEKDkZ4qH0gSwcSceqzYtjlKBqx1FGlHlgz0vWTfKsbBInRgltYcH9ScLFqOj3qOFgNdKHnvxYJ3z+ds94ah91HwTw8ICdOkQCjybOSthxd89vE13VSw60o2e8uuMUgBSaJIMkuaS5qdp64HZOjJbUteCBwFzZBys0oYhkCajhwdCs7uG6q8I+GKetvx5HnFGHIOjgynJx3TJFlvcgZnQAaCC7hpRApDnnvun7QcHTou1hWX1xnDMHB22JCnE82QMPgCMFjrEK7HiA1KBiYM0h5gyiUSRyKuEK5l1RyxGU85PCl5401B30dibl1HQHv99RjVNCZGKTebD6Rgv5VmKp9Gu1PP+zh2/kcB+ifJ/i5uF4AfBf4t4H8B/lvgz32CMb6rdlcacQfMd1rKL4M73JJj3Id7B78M+nfPfXkTcJffvgP5u8d32+6iDnfhe7gruQkQYm5cM6D8iJJx4me2pUw7jOkpbM083zKzK4q8RklNP2a4YBimlFWbI4bAxU6hTU+R9ORJS1kMvLZsSbKWJHnGOGbs+hnX9QHX+wO2+4qnF56nLwYME6k5ZVEWLMqRxcKzODAcnM14sMiRamRqntHvd9S7gX0t6V3CICrsYo5Ilqi0RIhbzWta+l2LoiNJJ5QSLA4USmrGCYZuQ7PvmUbH6B2jSGmSJTKU7PYK1Sqy1UiiGubVSJEr8kRg/Irj9IbTJMCJZDMcsW0K6say6yz7bQk7RaprCnvNkb3h/lnN2E/smpx1u+TFO58h2Z5SLo45uw9vPL5hJn+dm2dPuXwxsFobtiJH6GOKuaXIwCjB4EvaeqBvdwg3kqQSVdwnv3+PTDhE+w7d+jcZ2z1tJ6m9JcgFWWEJQn5Sovunbi5/ve3anH/0tR/il7/wc/z6V3+M3zl/g32fkdqOw+ISa1ucz+m8JjgQSmLUSCwJCCTKUaQbrHJMPmXoNcFppJQoI5jlHUniGF3C9T5j32dI4bBmT5F7ikLSDykX2zn9qFF45ouak0XN6WHN0XzD8WxH1wn+yVeXvHt1zL7JGCYFUmMsIATjYCE4ynzgrUfnfN/jFYNPudwfstlqtlsFGhLjyHJBkYzU3cDV8xRhE/JZRZEmuM6w3k6s1orBQZKNPHgAZ4cDVb4jsRPjNOMrF2/QDZKqvOb1xQu0cqwuD+imGZ4AosP7hIDCpoZ7RztOj2qaIeHLX6uoG8Fs1vDogaBtc3btyDhAmsbaeilzTJ7hpwQ37LCyRoYX2GmNSk9o/X0ur3uMX/H9j79IdXTE0/fuc3mTkaaR9PbwYQynT9OHZVvn80/eTOXTZK8iRfxJAH0UQmjgzwJ/OYTwN4UQr4bF8h2wO8C9s1hT6vHeoaQjiBDFCzRAILECKeKuGQHeC5ACP0GIawAEFRdPoQDxITC9kzu864p01/7w63vivmp7OepgLSS2RYsOpRqU65HCI4WLIdkQUHJCiEA7WJz3OJ8zOstWzzGNI1ETx9U1h7MtZbInBMG+q2hdjveWepjT+iXXg0VtJHk2khdQVZJyFvjM4Q0/LL+EGxr2e8nles7F9pR1veRFfcrTNifZJ+TXjuXzHbN8xdLcsChvOKw6zg4F8vEBTt5jNx1Rdxm7GoZ+gKnDihZw8bvXmnYqEEoh6xobblChIZUjxVyBSnDqkHoo6cZY8Lrf92giaSg1hu3NgJVbrO4oc0c5PyXPLWlhKGee+YlFKEvXDKxvnlKvW/b7ifUqcO0VOpkzm1dUj044mD1E2ILdumN98ZwvvX3Fl901mWk4PfbcP1N89gcs9ZBxfpNwva7Y33iEa8nNOXnusUWBM4+ppwW+Oaf+yhdI5A2GhiQNJFXCbGkYnKGfCpxefsss95fsUzWXo2lgom5TfuvJD/Arv/1z/NpXfpwvv/gM+y5Hy4FltiI3OyYy+qEiCI+SAqknJBAQJNpR2hqhwFPQDBLnBEiFsRNl0pDYwChyLusF3ZgSEKTWkydbMjPQTYbnzy2j92jTslzA2dHIyVHg5GhkWXn22xm/9fYpT85n1K3ADQ6hAlKMuBAYOokykrLyvPX6ns88bhhGyfV2xmprWO8LlBIk2USa9KRyS9NazndzTCopi5HEtoyT5uomY9+d0PWCLNnzsFpzerBjNnNkeUrnM776NGdfB3J7wxv3oZiXrFZvsbuuCeMO5JZJJEhVoLTn5GDP/XueICxPzo9ZryYSM/HmQ4dDsFnLGNlMUooqEnuMGgjBMbYpJsuQyQIjM4xfMfUNl+fn9KHlwesHPHh0ws2LFV/4jR2Od3jw5iGvf+aAxYFCyg9Ib/Cdl239p8k+Scj9zwH/ATE897kQQiuE+FII4bPfyTf4UfZRYbrtFn7wwZdxXoKUCDxChNj4Q00o5dAqgA8gYZwUEsUYFN5LhJA4JFoKJh9QOvpAWgkCGgF4oQjEXb1HobXCI5BCIrXhbr80TR+UiPX9h3snvxq7U2zwSAasmCjShjLbcVRecVRdsMj3COnY1Av2fUEzVLRDikCilUfICa0m1G1eUetAakZm+Z7D+Y7jasdsDk5o1s2CZqwYQoqb0thf3Ldo9mR2T2H3ZEmgKh2zSpDNZjh7ws1uzvml5vzCsdlK+jZuLhLrmVWB+VHG/DDnYGmYzxzLqiU3G6Tb0rSS7d6wbQqaPsULixYNmh2MkdznJ48wGcqUYHJMZlASZPAI2SKCoGkNdT3i+xY/xX+EtgqtM5LCRGJepklzzXzmsWzJ1TWGLVbuEcHhpWXdnrGbHrANj2j9AePg0WFDIZ5S8JTCbpEy0E456+aIbVsipCRJFccHjoenK84W1wxD4Hy95LJ+QDsdg+/IwrsU6j0SdoQg2fU5zmcEoUhyjUkKkmqOzVJMlvPo+x4h1beeQ/+0zWWAd/7L7+UffO17+Y23f4T/+90f4Wsv3mDfVkg5kJmGPNkiZcIwKeRtPFaIASlAEkjMRG4bjPRM0jJOFo9BKo1NJFnqSFTNOEm2dcIwxJ73iYaqaNFWUbslTWPxXmDMyLLY8PD4gsOq5d7xnqJUXNf3efv8hGeXc5pe4B1oNRE8+BDZr9YOLKqez7y25vH9PYNL2dY5q7pkW6doGUhMQ2oarA3UbcE4WbRuyFSN1iP9VLHvSvZNwjAG0jxwtIB79zWzoiOVa6Z+z9MXObu2IEkVJ2dwUPXcrGC91aAKpM0ZegfjChlaDhcTjx4EbFFyfmW5vlEEYbl35rHGU9c942AQUmOTqAdvjEJITQgOEUa0dCijMIkFXbLZSrarjkV2zesPa1xIebq6z2445mDe8/jkGScHO9LFEZ16nW1bvl+KNpv9/hCI+f1k3y7LXYTbi4QQJeBuF4C3gP84hPDnX77mu2kftQi0LfzAo99ABoVgQOqAkI7gBAjN5CVhUozCwCTwQiCIoWpJQEqHFpH5yq0DpIQkEABBQCFFdM+FEHgkWoE2giANIJBaEUSCkAbvJaM3TM7QNJphiO/x5XKyT2YjsZe4J5aaeTQTEn8bafAYM2HVQJb2LIoN82zDSXXFSXVNlg1MU8bl9oCL/TG7trxd5ARGj2g5YXRAao2UGqkFeTJyctRyethzcrBDjXu6vmG9sTS9YZgMzmXIJEHqlKQoKHJLlg8kcsfcXjJLzrGqpR1zLjf3eLZ7yMX2mF1X4jxYHZhlDbNizyJvmM1H5uXIwTIwWyisnpj6ms1Nz2at2DaKEAzClJi8QMgULxQCD+42PCLBMqDCBhk6lJoIKEYqtvUMj8UhQCRIrZChI1VbNDWF3WFVy7x0mCynOFhgqkckywdgLHJcs3n+jM3FOfW6pW4kvcvQ1pJVCWUpKXKBtpqh7blZeXYbz+QNSVlycLrk0UPP/dlXCfsnnD8fuLgy7NuMoDKyDMoykBYZTi5pppj7RBpsIsiTwA/++CniIwpwX2K5fyrnMsCf/cm/yt/6ws/TdhWTl0jhSFTUQTBWIEOAEEmaUo7RM8eRJCOFbZFyQqAYxgwvNVqCTQWJHUlMYHApu6Zk8AaBJzEDpV0jw8iuy+h7BUKTZp6jo477hwOnxwOnB1uUq3l6nvLOxQEXqzm90/iQYKwlSE3wGik9WeI4XDS89doN9xbX9N3Eeqe5Xi+pxwxjIcs8qQVjNfsuxQ09mdqjE4/UGW1r2G4DTRsIbiLNFUeHknvHHVU1kieeNpQ8u1xS1x7LjtPFNbO8Y9/OWLclU8hQYmQaRrwQSDtjudQ8PF2T85SbG8HFas4kc45PDLOioak1vc9w3pDbFsGIVAZlRKwykCYeK0iSHuEmmlay2ufYLOPxY0metJw/bbi6HLEm8PhNzcO3zijnFa65ZHt5RTem6OoB87MTkuwPFBC/kX27gP554H8E/ucQwrsvnbfAzxDDdn8nhPDXX9Ub/lbt4zz0H/+ef8DoE5xXDN4SvMKHgBASEWKzkFiu4rAyoKQH6eH9HLR8n3wRhPjgWIQInDJeFwgIJZABpBB4ERDCRBKOVEghQUJiAyZVGGORJsVJQ9Mk3Kws251iv/+gycM3trtSM3i5ZlzgsEwYdVtLHjxCiigiJiEwYWRAKY9VE0Xes8x3HJU33Fs+Y1nsYvnIMONie8aL9Qm7LsdhSbRHqYBNPTIIgp+QYsKInqPZJWfza+4fb8jnFi/mbIczNv0hba8Zuh4ZGoRrsLKLAjSFIS1Litmc5XFKUUq8n7i69Dx/Di/ONautpR8VWgmKXDCvJub5lnmxYZ7tWFY185knrwxeHbEfK643Bbu9ZBwmBBNGgZYTbmwIU49kAhEXRWkylLFIBdrEkLqbJjY3LV07IKYWwoBQEiU1WVUiy2Oy+RFJWTLLO8z0goJ3SPwLrGxBWpRN2Y1L1nVJ3VnqLqVrPNL1FFkdc6/zDF0c40POzeWOzeUVQ1uTqI5F1fLo/sTD+xNSG85XC843J2y7eQT30lCWmizp8X3Dfr0j+JEf/4WfQJlv7sa8BOif57s0l4UQvwD814AC/loI4b/4qOs/DtDfXP46X1t/Px/oJYxIbjfhxKY/MkxYExUM83QgT1oSOyGFQsQYHdYMpGbE2glFoHU5fZ8xOIGWEVCzdGQYE9opxbnoEFTpltPZBfeObri32LCYO/bDEe9cnfHs5pDtPmGaPMEPSBEIHhBgEk1VCu6fel5/XDOrPG2rWW001zeKcZhI5I7M9uhEoERGP1mChDSJ3u/oNfUusNlPuEmByigLx8l8w8niitLuMWlO4w45v8loWkFqAofHhuWhYrcZub4e8GOLQuCkJYQEaROWZc3D4xuyXLLpznhxUzC2O5b5Ocuqox8yWg6ZJkOWdhgjQSYYLWLzoADKaAiQJA6pJP2Ysd4IvJu4f9Jwcuy42eQ8Xx3ineDh6ZrXjp+zLFuEMezdQ+rwEIKjUk8okh0iO4Hi9diB8A/sQ/btAnoK/AWiutQbwJoYqlPA3wb+SgjhH73Sd/wt2key3LeeN+6/i5sk4rbTlyKg1IgRUYZUKod04EQsu1BEcpEnQPhAz1kIh4fYq5sAApSMF0g8PkQP34iAQCDlhFYOpQLGRFA1MiAUt0AbFZdc0EhjCSQElbNrLeutYbXJaBp9K0fp8b4nLmT+pZ/wweIWowqKCYmLi5qI10kZ/ypuIwngUcKjZMCo2CilyluOZzvuHa05O6ixaaB3FVe7Oc+vFtysUroBZBhJkppcdQgtmEIBMkWZhOWB4Ox0z6P5NcvqCtfX9J3jZltRTzP6sMDLGcqWaCMpypFEdCS6IdEdy1nPrOiwqWC9n/HkecnzC8H1StLt46Ypz0aWc8d8bpgfJMwWMC8m5lXLrGiQQrLfwdWNY3Mz0fcCqSasVug01sILKUFbCHH3L8UO67cI16FEi8LjZMK2O6QVx5CcEGSFEhMyrEjDBWq6ITM70sRRVQKdLigriU40aaJBBBQN+03LZm/Y9xXNeEznFuBaCvmUXF9Smi1Gj4Dmen/Iap8yTBlJnjI/yHjtdcXD1wzKpJyfC85ftGyuWsK4JzE981lgfpDzxo/+KOIj1I1eAvTvylwWkWTyZeCPAe8Bvw78KyGEL36z53wcoH/m8O/yOzefI97zd9GIW8m2+KoQi85QjBgVOTJSENUNzUSe9mRpjwiOyasI1kKQJhOJGggSJpfEJkPBkCSOg1nDg3sd948GDuZbxLjlvReKF5dzrjcLuskyBoNSBo+Om/wwUWY9R/Md946ueXCyRZuMepxxvjpm12Uo4UmzqBZoVI8bBsLUo0RLmirQKXWdsO8sTWsRSqGUYJY33Du4ZjEfKecVQng2q4GrK4+bBGlpOTyQVOXEeqvZ7hOcnCGQhLHGuQbFyNHByL1TR1JY9k3G5WWg7wIHh5LlUUU/QHOzZhrr28hBAmaOUhOCEYSNpabBk+k9Smt6p9luJcOoOT2Fs5OJ3c5xfqHoe8HxceD11zWHpwVWNdSrDfv1Hh8keZUzu/8IaefQX0H7FGQKxWPIzkD+Qdz9zl5ZHboQwgBHQBtCWL+i9/fy+K9sV99f73n9jWcEL5E60tKDA2VACYH30ZPGBySCIEJc7J1H6fidKOmQgJABIW6JWCG2AuVWQlvLSHZRBJT2CAUqeJRySBlixF6G90lp0ghibl0hlEQLDwq0DBgrSDNLmhvwcHU9cnnpuVxlbOucfjD0g2b0AY/+0HIWLQK8BiyxZaLVDquBMEXPAXlbsxw3L0JHprzRjjSVVPnA6WLLvcNLzuYXlHaNcz2X6yXPN/e42BzTjiWenLwgeju6o+sdwQekn6iKhkcnO+4/mDi+V+LVnDEUrNaS7c7R7yfcNMWyHePIi4nEGtJUYWXNrNiwzG5ITMuuTnixOubJ1SlXuyV1Y/AiUNiJxWxgMR+YZQOzYk+VbFhWe+Z5jbKaejjkertg1eR0vUErEwFeNUxdT5g6ZKjBu8h5MAVJuSTkZ6j0AGMEU3MTQ4GbLcHVBC9RWiJNTlokqESQWUmSBaqkwciGIusxiSYpDxDJEVp79pfPWV9dsV8PNI2kHVOETMnzibyQlIsck1ZgEq43M1a7lGGQJKplUW557fiSB8drtA6cbw54cblgs5cIAv/8v/Q5jP34kPvXnfuOzWUhxE8C/0kI4Y/fHv9HACGE//ybPefjAP2to3/I715/hg/f8YKYdor57g/APn4vAdDEzSvBRX12VJQwthO56VFqQBI34j4I8jxQJTUPTq+5d1xzshzwwXC1rXixXrLaFezahKmfwNeRYOtBqdil7HDhODsZODtqmeUdbee4WRtuNimT12TWoZMUmxqkkgipECKQpgHhA/V+Yr8b2dcxNShMQpk5DhY9x0cjs0rGZiRtzdVNYNcWoCvKtOeguEL4HXWbUQ8LnCgITAQnCMpi0oLTo56z2TmaNdud5GpzwBgsB4eaedUwtBN1q5jEEptZMtNAd4VkQBsFpkKqAtyAzQLGaPrRsq9Huk5weCA4O+oZRs/5dUnTWRazkdfubzk77shzSdOl7MZjnJckcsdMP8XoCZSG9AEUDyA4aJ7ENsLpWQR28wfMOPiUCMu86l29r1sODlZ4BMLfhcXvcuQgxa1S+S3YC+lReJTyEfBxaOERQhBugV3dhuUFAalA4pA6evCJCnhEXDzu8thKRkKHj6+rxRS9exxae0wC1gjKrGdeTVTplpPiHU6yd1nmTzgtn5MnO663Of/wqz/Mr/3uT/KlF5+NYdimoh814xgJeQHJHZcXiCkBQgxHikDAkyUeqW+XPBHV1kCBkCh5G5IODqNHrO0ok46TxY4HRyvunTrmywSvC65WBS/OFS8uE7aNxE+Q2oEy79GJZfQVkyiRUlHmIw/Pdjw6ueFwXiO8Z5xgtS/YtxnNkDJ1I4IBI/YUWUdiHdZqkjyjmqfMDyRV6mi6wJNnhifPM66uNfsdBD+RJy3zoudg2VHOFPOZpqoUi2XgYAlSCZpdx8WLifXK0bZTbO+qBTq1jPoUklNkuoxtXMcNoTvHuktwu0jyUYogCzZ9SdMVt99bADeiVEdmR6RWZEVBOp8xKwXaXVKI9zBhhRUdQim0sez7nHWTUw8L6mFJO+YIk1GUkqJQ5GmHFVvEsOLySrDeKPopJckSDpYTj+9tuXe0QynBpq04/cF/7iM7rn23hWWEEH8K+IUQwr95e/yvAz8RQvj3vtlzPg7QT6snXOwPb4/CSz9fqj9FvHROfN35l/8eH0YElAoUyUiW1ZzNrrh3vOZg1iGkYt/lbHcp27agG1IGZ/F4jJQgJMZCmbYssytOl1cclWuKvKd3CzbDEZtmgXMSJXusGLG2R4meNJEEqdFG40VC08cuaG1v8C5uOqukZpbdcLpYUc40ZZUCgl0tWe0rRp+Q6JHCbpkVe0YK9u0BXe/www45NQw+QSQzylJw72jHcjEidM62PWR1NYDfcliuyFNHM1b0Psf5HKv2ZLYGmSKyw7juuQ1iuCF4QVoYZLJgmBT13jG4hMVScno04Pqay1XOrs2pio5H9zruP5CUhaRrBnZ7mCaJsZLZMiMpZ+Aa6K9hXBMJL3Mo3wA9g+4c2hegs3guPY4hz38abWpBJh8rSP9KAV0I8WeAf5EY6xXAL4UQ/vtPNMg3HvfV7uq3W8Q8Tlxx67lKQIsI5lp5gphQgJQ+huBFBOzowEYfWN6CuVRTZMWLcNvD26OCQ2p/S6KLoXgp4+8yRBa9CAJtJmziMcJTZANFXlNlAwfFipP8OQf5Cw7zZ5zMnpElNamJSm1WDyS6j7tXInHu6dUxv/qln+ZXvvhz/PbTz/F8fUrdFXSDZhjV++Dubz+5uP386jZVkJhYX5dYj5axpC34yDYPQSAQcXOjIAiNNZI0gyr3HM03PDw853RxybJY473gpjni2fqEZzdn1N2M0WmybKC8zV8OvacfY1VAVU68dr/l8aOGZVEjfc/Qt9ysDfsmoRlyplASTEaaKMpiROuAVSOJ9VTFLbkvWbPbB568KHhyvuRys6Duc0JQ5LlnPoflwjEv9pRmR5VtWeQ3HFZbpNQ0bsn59gHr8SF9OEQZixFbdLhg3N3AuEeKCaUFQuZ4lWFTA1KhlMSoDtdNrPeBvrN4XRHMDIVAii05l4hpQ2Y6snSiKhXSGMpKkOQWk84gmaFszr5L2ewsu62j2TT0TYsILUXaU1SKPE+wiSL4nqtr2GwU3ZiSljkHJwWvvZ7xxvfN36/C+CZz61sCdCHEfxhC+Msfd923MM6fBv741wH6Hw4h/Ptfd91fBP4iwGuvvfaj77zzzjcdc7EIbDZ3TcojMfUDC1/3u3zpGv91139wXuCQeBI1oI2PKTUVuwkSxG1UTURhJuux2pPngSIbOJk3LKqerFJkRtK0A83e0XUeN0UOS5IKktyQpeY2Zz8yDoF2gHEQ1F1CPyYEabFWUM0Cy9nA4XyiqgRZGmDY0u43bHaGMZSYLCWxjizp0CZh9Cm7rce7ET85vCrwIiVVDQfZOQezDfO5oWfJtsnY7SFLBIvjDKks3XbD2NX4ccKkhqIUBFXGFJ7cR7KhmSFsSWpbQnfF2HV0Q8FAyXyZcbLYMDjJalOx7wy57Xh8f8e9ezH03/eBXZMyhRQtJ6q8JUvGuAmVCdij+C8Zt9A9vxUMsVA8gux+JLc274Lv43HxGNS32Zbs95N5Hz938wyye1A8/MjLXzWg/9UQwr/90vFfCSH8pU80yDce99Xu6usaUUbKzIdzbR/ORUf4cygJRk+xq5j8QMVJSSJjXLv3SXBaDUii6pSUDiMcSnmMclg7xvC1aSnTnjIfqGzDfLbneLnlMFtzmF+yTJ4xS89JzY7E7DFqwOoBo8cY0v8Y817w9sUjfvWLf4TPf+mP8MWnn+Vid0LT5bSDxDkV5SvhfV89BtqjnKsUAaMnhIgLldEOpW4bQauUyamYhxcTWg0QPFY6jHXMyomTw5FHDwdOzhIWc4lzntXa895TxYuLhN0+xQXIkolZ0aOtpB89QyNBjMzzjtfOrnjzYc3soABVMZBys9bUe0HTCEanEN6RmIYy3d52cHNY45kvJIuFpqw0+zbh3fOKJ89SLi4F7S6SB3PbsJjVLKuR2UJRzUvKo0MWp0ccHmfIacPu8hkvnqzZ3PQMQ0AbMIlB24Qh5IBCKw0M6NDj3IgxEpHkmGSJtApXb1ldb+iE6hiIAAAgAElEQVTrjuA7QKC0QSlFmgqkTcnyLArJzHKUSSjnGiN7rNjBsEWGPfu9Z7PP2XUlTW/pGlCyoywH8lSRzyqSosSJiotL2Kx7hBv4l/+119DmkwO6EOJvvnwI/LMhhM987M33MfadCLl/oAwWiM2Efi92N+/vfo96Eh8G+zub0HhSO0alxLRjVnbkZUNhRoxO8NLivGByEmMFmRUY1ZGrG4xo8AEGFyV8B18y+ox+1HBb2lVkLQdlzbzqmVeQ5RKTGZxP6HsZtSJCgjEjym0xrLB6xKuKpp8zOZgmAcoQgsbKjirfcjDvWR5leKEZ24bNTYfAUc6jOuI4SfpR4oIGsyBNOhKuoe8Q0pFkKUIZgioQ9KRihxcJXThicJowtCzS95jnI6MoWLcnNL2hyhpeezhxdk9QFp5u37JvEhwJWo9U+URW2vi9+y6G1ZExP27m8THtobuEYR3zgekBlG+CzqF5L+bX9QyqN8EuX74xPp027KB+G5pz2L8Dpz8Li4+egq8a0P868D8AT4CHwJ8KIfyFTzTINx731e7qdzveeuN3aQfDOFkmJ/BBxqYeCPwtzt8BdsSyCPBCepT0GBsio1u7WCZjJoweSNREqnuKvCOxI0XSUaQNs6xlntUcLLYclnuqvGaWb5iLDWV6TaK3KFmjZYNWA0aN0bP/tkwzOcuXn/0z/O9f+nn+3pd/gq88f5OL7QF1b2NL1IlI3Avi6zKNASUcUipMEtMIVoDUsf1pmFz09r1EGYWQIubRgor5fuOYVx0nh3se39twvGiYzUacl1yulzx5ZnlxmbKrFX5ylFlHkTUYq+nGiiHkSCFYzgbefLzn0emeWRkZzF3Tc7MS1HtF0ykGp5HakueaqgKlNUpDYgXzcscyu6ZQa7Y7x7vPKp5cH3C5WtCO0bso5hnLA8PhrKaQF5T2ksresKxqDhYDQZZs2xkvNku2+5RpElgzYmSLFo5uiK1QTTpDaI0c94T+Gh02BNdjjUcZGKaCbZvTuwyhcoLOETKNZWyFQjBR2D253ZCbSFAqq4BOMqzVgEeGmu1esd0n7PsF+2HOEMooRVq0ZGZLpvakskHowPf/zE8jzScPuQsh/trdfLs9/m9CCP/ut3lDcita82XgjwJPiemzPxNC+O1v9pxP3jnx5YqP76Tdba4nrARrHVaPJKaPofrck9jIQVFS4LH4oHDeRd15JrR0pMlInk7M54JqJqjykUR3aNXjJo9zUTXOS4snQSUao0UswxMCbErXgqu3jGMDQaBshc0VRdaxqByzuYi8H9ex2weQGUmRY1RPaFcMfQ9IvD5ApxYje5JUEHQZ7z+/wg/bmB+3EnSKI6N3Ftc1WD0xXyak8zld7dher5iGjsUMHr4mOT3LSJOOrpU0Q4rHYlUTu88VCRAgeJAm9lMPDsLA+yuSzqK3jodhBe15vF5nkD+G/AyGbfTWEdGDzx/E8T5t5sZI/GueQ/0erL4I238M9/8F+N4//5FPfdWAngN/kgjm7wH/Uwih+USDfONxX+2ufreDv/U5wjQRpGb0lnZIaVpL05fs+kjOaMaSdoiM18FpxtHEsDMOqSWEKCKhlccqR2JiL3BrRxI1kiUDmRlJTRcZ7Xik61CiQ4o2hq3kwIdzfa/CIvUNbAw/BQ1oOqf5zbd/gF/+wk/xa1/5Ib724gGr/ZymtwxT3JWHIGMd/vtlPzHnr7VHC3dbww7KxvaoxsSgvQ9R91bKGNTXKirQKe3IksB8PnH/cMOjky3HixVF0jGOnsvNjHcuTrhYHbBvMpCCWdlR5ANCCvpOMw4gxcDhYstbD254fHKDzRWBnN7nrHZztk1K2wumSaNES252lHaHoCdRsXtUNTccnaXY6oxVd8I7z3Lee6fm+rymqXsSEfXrl7OB5TIq3BWVZTaDxWzkYLZnGidWK8n5dcG2nxNUjtE6CsuM14xNA77H6JEgDVKnBBTaWoQpSMocpVLqMWO9T5h6h3A1cmoiV0CPJDagbEZRQGon8qSJLTYLj8oqTL5AJLFX5G7dsr7aU2866u1E7wKJHJhVA2UOP/YnfhZtf0+A/noI4e2Xjg9CCDev4u4UQvwi8F8R3eD/LoTwn33U9R8H6Gn6zVQXHTDc/pz4wON+OQ95t8apl45f9sx/L3abh8ehtcMmgcQEsqynSntmc0dVenLTkOsNRta3joPEiQRPySSy9zsdBiYS1SMFqNu2xI4MF2z0pINDao1NLalqKOQlVXZDWUnSvMQHyxQCQWikNEgx4IeWEALoCicyhG9J/RWJbRHGorMlUkiMHghYVLogCIFoLxiGAT85hM7JMsjnFhEmut1A0yfo/IDDY8/DgwsOkidIAa2r6DkBKclMQ1EKbHYbGh93cZ2S+lbeMkSgDiKG0vEQZFSRMQswFYx7aJ9HYpxQt+H2R9Fzb96NXnx6HD34T0t5WwgxAtG+B+0z2HwVVr8Buyfg9vD6vwE/+O985BCvqjnLzxPLXdbAF4DfJPZUfiXb5Fe+q99u4X/9gXiziDsWbKwlhxBvLBUJYVGoHRDupQj97U3nieQn5Ad/E4G4OIR4o7meuKh0fLCwfKfM3L72HfHH8MEC9mFC0HZf8fe/9lP87S/9MX7j7R/hvatj1nVOP0DfS3wQBC/wIeBvq3qVDAgJSgm0CgQhyK2LKnLKI4JHCIWTAu/kLWHMI0JAiQktPVk2slz0vHbS8PBR4OBQkeUjXaN478Ly9HnB+aWhbSVGDSyKmjTtCEHQDzmjT9FWcXo68NbrDQ9OR4wcmIaJZt+w3Xg2O0k3aBwZ1hqqZUZaLVDpDKUkub5mbi84Kt5DuD3XNylvXxzw7HLJzaZgCClWB+bzkWXZUZUt82IgTRTLI8PyMGVWwdjtuHq+4fz5xH4forKdCSS5YfIJo8gRKicpEoLIkcbipcGEERFqErEl+D72p98neJFwVyIhGbDGY41EpwX5PKOYV1gdlcJKvUaFHYoWyYSfBjZbzXqnaFvDvsvQNuEX/9UfwqYfX4f+0vF3dC7/XuzjAH2/j4AuROyf0PcftA0eR/B9B9vfhov/k3D1BaZuTdcn3NRzdm3CrrV0rWLbzdm0M7Zdyb7PqJuS1b5k36Xsm5R6yBjGLEb2nGacIr002jciK72cynMYCYkBbRxGT6RWkKYOqyeM6FCyw6iYlkusQiQJMqhYQivGqCFxS9azymMTRVoIijwwy3tm1UReWJS1iGHP1F7hhh6vStAVAoFWjjHkeAHKdySqJstApwuCkhh/jfErALxaIHR1K0kr8KJC2IpUrUm4RoeGzluGocCrnKoSnB1ccHbQkJYlPjmlrUd8c47yW/JMki9LlF1A6COAqVuPfGqjV66y27XURXBWFsJ0G0rkNgR/6637MRLm+vP4NZsZFG+APYThKobhZQLVG5Ce/v4mzA3byNxvLmD/tVsg/13ot3HTEnp47U/CH/pPP3KYVwXoz4C/RHQNf+j28YMhhLc+0Yf66Nd4dbv6uoZf+my8SYS7nXeeD/JoL9ezvrxTf5lQAx+Ac3jp/B2Av2qv++PsZe/j5Xzg3XkFJCByMDl4A0oSvON8s+DzX/wxPv+Fn+I33/0+XqyPqZuMfpK3rSI10xTB/U6gXqvI+pfSo0QEeaM92kwY5YERERSjkwgRMBKElQgkQkmsdsxKz+Gs4/GDLWfHWw6KPdZ0bHea954XPL1YcrWb0Q+WJJEsFj3WxrdQ7xXeORLb8ujwku997RlHyxGhCyYxZ+dP2PZH7JqKvvW4YUumbpjbG6Qc0DqglaCqFPOl4vAwdmN7fm545z3D8/OEzdbggiZJFLOl5HDpWWRrCnNNrrYsih3LRU+ZO1pfcX6z4Gq7oB1mmDxDG4PNLIOzhLFDuBYrdzg/gptQSiJNipJgE0+Yhtj/uk4JIkfYjCBzpAmkskPLGisaimRPljqM6EmSiSIbo5iHNmiTMoSMXZ3Tu5Q//PNvIdS3Xrb23ZjLn9S+rX7oL1u/hau/C+/9b7D+xzBtQSQxLDv1t6AygDR4r3EijyIyQ0kzGppO0k4JN9tDntdnXG0OubyZcbEuOV/PudxU3Gwr9q2hbSzdpGOHNh9VJMMtCVUQsAqUCbFMThNlhc1AZloSPZAYh00mtJKkhSaxkixpKZOaKmtJs4FUjRgrkdaALnGjxAWPlPK2LM0ShjX0N3GeJllUNEwGtAkImSKlIxWbqJAoMrya44NHdhcQOhAanS8wicWoDik1k14wOQvdFanacTTfcHamKCuNtDP6bsANDUIY0sUReS5J5Cp6nUHE9Sc5joxt192G2W/D7lMbj4WOjpOQEfAhOmCBCOpCQ7KMnny/id66b6Onnz6A8rUI+M3bcczsAZSPQX3zzoP/v9jU3YbXz6F+F9a/HTef3XWMQrgBug34NZz+Cfijf+Mjh3tVgP6rIYSf/eSf5jtnHxty/6VTIvBZPgzSdwT9O5f77tjx4VKYl0Hz96tp7uraP9iw3JWj6SiiIgwICzLBkfGVF2/xy7/10/wf/+SH+cqTh1xtc+rOMA7gvMI7ETvKcYft4ZZE59G35W3WgJagTUAaiQySEASDFxgFQjkME4GA1hNWe2b5wMnhjtfv7Tg9nZjNLMoYbjaWd54WPD9PuNka3Ogo7I6q3JJKTzdltFNFUAnVPOGN71G89YZiXta49pKpXrNZDexqya629FMk9RS5ZLYQ75MajRgpi4HDxcB8IWinBU8uS955R3P+wrHfDuAHsrRjUU0cLTqqUsRSsiplcZhyfGYxWULdFTx9qlndDAxtjxE7rB2xYqRzFuctxkq0mBBiIngZm8gkJdoWJHnGMDp2m4F62yJ8R/A9wnu0HElMjHwkqSQvHGWRIE1KXirSXGGMAgE20dz73u/5lqRfXzr+dM3lT2ohxMXzxa/Ex/ZLccEX2W27xD6WSnkXwYJY8x1BR9/mdl0cy8wgKSEY3ASDj61zL3cVN6uUt58kfPV5yZPL+zy5PuPFKqrGdb1i9JIQTCydFR5DQBtBkniM7cn0nsJ0FElPkk0Yq8nS5Fb1b0KFFikj10UIeasZoVEmwegJoxxJBibNsFZh/HOMv0FKgTAlaZbgfcAFA8qgRI+a9jGkn1QInaDZo4ZLgnc4kYM9QGtIs56jQ83h6ZzCrlH9C9zQ4IVBqJKkTMhyRSpXiDCBnkN6Er3M9lkkt2EgWcS/hZEYGbURrKfYCTKmC2+jiv9ve28eK1l6nvf9vrPWXnW3XmZ6me6ZoWZIDkmJtGVJEcVIJCWSoCgpFLQ4saMIlgJHcYAEhhQ7iA3YfziL4iCwLVkWDNsJEAFOggARRHGTyCE5HA6X4Wwcztp79+3uu1Xd2s/y5Y/3/W7VDGdu90xvt7u/ByjcW1WnzvlqOed5l+d938DNv8j0O0Bq08M6JItC5uM18dgxQvbNByBqwPAcjC/J97VXBHNFJur10SoMzsHW96H7NPRXoehBPhVRXNEFBvK+6z8Jn3p0191ea6e4fwd8BzgIXLLW/v7benM3ALteBLa24M8Wbu6CbhlCxGufNa157XOJWMxxTcNbEZiS4SThO688zOee+gmeeOldnLq0n26/xnRqGE8DCitlO0UhDXXAEIZSzx+FSK/7wFBJS8KgIA4KgrAAYylLi80jjA7BMYElNDFhGpDGlk4n49C+Pof3d1ludWkkm5RZxvmNBmcurrC6ucD2sImJEpqdkHYnIjAlo+0Jo8GU0E5Y7mzzwKHLHD20TVJJIagyyRtsDhK2e6KUn2ShislyGu0Qa2qEoaUSj2hVNllprFI1Xbr9hFMXFzl9cZHLvRbjaZUwjmk0AxYWIhaWQhqtmHolp1Ed0Kl3WW5tYMuc7e2Qcxc7bPVTrI2IozFpkmMCmORVCJvE1QpBWMGYnDwbEZdDQqQRTRzkjIbQG0ZMxtIERC7gCVEUkVZiwiSkWrHUmpZ6YoCMZn1KNS05+sPvu6rhLLftufx2URbQOwGrn4dLX4LBCbXVNa/riB0RkImnGEGUQhlqZG8KVlXYUU3Cx6YEIjUCIsq8JB9tMRlN6I2aXBoc49zWfl482ebkuRYXNpZY7y+xPa4wnYZMywBbRIAhDGSscUxGHEp5a5oYNdqQ0tVwQDUpSOKMJIU0lhkLYSLCuTScElQiTNAmCDKYXCIqezKmNW1K0yEjanhjDBEDyDMx9qMmcWKoBes0oou0mmOai20q9QYhE0yQQGWJIK5QKU+Tsk4lGmDCJqR1CNtCtPm2kHXlgPzN1KO2RoymyrKmNyfyGRvnkY/U4Yg1BB8IyZdWP/tCvfUU0mV57XRTPF5byHdSuw9qBzWkfUq+z/oRqB3etT/DDUNZSIpgeEE+g+5L0H0Sumflc8pGovKfbiCDteaqNsxD8GvP77r7ayX0nwHeO3dbAJ7S29PW2n9/1W/0OmPXi0CWwb9PbsIq6sA+iI/C8sPQOASN/RDU1EI0swtH1odSv9BiKOHA8ZY0VMh6YtVO+0hIf6x/306EwJG6u7moQyjPBamczEEFCLBFweXtNo8+/36++PQHefrMO7i4uUx/VGWaBeRWy+AKI3PirQb4Q5lcFwcQhgUmCIjCnCQpiSPpyoWJKWxAaS2xKUminLLMpT1uVNJMpyy0Rhw/tM2BgwGLKxWqzRaDrMHZ8zHnzmRcXLWMhgVRMKHT6tNsjCmKlMG4RlamRGHAoQMDHjq+xYGlAUFoyYqYwaRCTydYjUcl02lGLdymWe1SiUYYYwjDkFrd0F4IWFmGKK1zqbvAiXNtLlyqsb4ZMxkXpMmEVnXAUmdMqzGk1bBUagHtZslCBxYaPbI85NJGhdX1DoNpizCtEkVQTTLyyYjpdAL5mGo0xNoCSulmFoYlURiRpAaTVBmMqmwPK0zzABOIeDEMtCwyKoiinGpa0qxNqNRjfvhDjxBdRae42/ZcvlYUU9h8Bs5/Fta+DoPzQiBhCkUJdijEYiN5zARABEksxF7qICSTSNOToCqeI7l6nEruRS553Xwo51ZlBRvWGQ8yBv0pl7qLnNp6gNMXl7i02WCjV2V72GA0rjCZTskmU2yRi30RQJQmpNWQOII0nJBEIw3fF4SRIY4gTGLCKCEMcpKwwMQJQdyCckI0PUcYjCCoEqYNwiAkqRRESUw1nlKPNmjUpzRbVdJmiyjISCYnMEWfIEpJ2vtIKyFpOiVKa1A5KNew4TkhJuMMnbp8btmWfAZJB9Il+Xyct24SSFozb91aDburBsmgYXe9uASpfAfleM6Dd+VtHRGQDVflmCaStbWOyWuGp1QwtwyN+2+eYK4sYHJZSHy4KkS+9TT0T0rKoJgAE/m/7DGbkjmH8GH4lTftpQZcf5V7BLwTuSC8x1r7d9/SDq4jrngR+LMPQjYA2xWLNNcfh3XzS83cLQZSCDpSHtE4Bu2HYeGdsPQ+aC5fsYPP24aVjmOUmfz4BxdE7DFelZzL9qtyEg01VFMMNYQ1L8Bz6YI3gvPenBf/uvccV0WoEtQoipiXLh7h80/+Fb7y/Ad4efUwa70mw2lMNpWWuYUNJCJmobAyBCYwhiQpCSMwgfTRTk1BEGbSGMdKaY7FYExIGEEUgzGJjLCshDQbJQeWexw9uMn+9jqt6pA4HLGxVeH0aodzlzusb9fJ8gqN+ph2a0wSFuRZwGBcJS9DGo2C40cmPHh0wEJzRJn1yccDer2CXj+lN6gyLSoUJqVRkwluUVLFxDWiJKbVjum0MpbbPbJhnzPnSk6fq3FhNaY7SCkLQ7Umivil1pBWq6RWC6g2qnSWqyzvq9CoFfR7I1YvTFm7lDMaZMRBRhoPSWIZo1sSYcKYSmopTE061IWphENDQyW15EVJfxttHGIwJpPOg9ZQSSBMAmrNiI/+4gMk6duqQ799zuXrgWwAl5+Ac38OW9+Wiz6x5tdzIfZiIsLZqKreuIpnbaBh4Fy2jxcgqogHGqLGgA5uKDOYrsv1JkihuiKe5HQAxTY2rFGEB8hMnUE/ZHM7ZWO8THe7ztb6mK1uxnYXxpOISVEjM3UK6mCl7NEW4x3hXBCGRLElSmKSKCKKcqIwI60kJPUWlWCTtDhDPR1SradUalWqdUO1aomTlNgMicoNoiQhrrWIa3XiYoNwcko94BakB2VoVRBAvCSPTc5L6DsfQVgTso7rep3tSSQwPSB/sy6MLmkIvaLeupFrmEt1WKveu4pGKWfeui3VqLKaRqxAsiLi5MmaGmiIMr5xv3jykzURoAUpNO6TfvA3SjBXFtp//oKkerZfho2nYXgCRpvyGZHBeBMYIuH1N0H9R+FTj+96uNui9evbwU25COwVlIUIfiaXoH9OfjTbLwjhj87LBWS6rbkpLQPZGbG6G1y4PkIubqmcdEHMYFThiZffx2ef/kmePPEIp9cO0B3VmEwj8tJQ5FKjXpRgrdW+96I7SCPxwE0AcSR59ThFelcHCbkFckMQZoRhRmALjC1U9V2y0B5zeP+Aw/dMWVwyNOtjihwuXE44fb7B6lqT7qBCYKDdkgEtgYX+EEYjS0DGcrvLg0c2eOBwlzCtUJgGWVGnO2zSHbcYjGtMcxml2agPadVHlNmIOCyIwyntpmV5aUq9DtuDlDNnIk6eq7K6UWU8SQnjlHorYqEdsLw4oVkdkkYj6smATr3PvsU+gcno9SPOr1bZ6NcoipAkTUmrIWGSMppKlUIYG+KgxAQlxVSG+4CVErcYplnIdj+iP07BJERJRGmqNDsJv/TL9evSKe5W4qady9bCeAMufRlWvwCbz6oHWRELM59CORApPaF4jVEMxDqYW4moLMRTj9tzXno58zpNJAQ12RBRmEmE2MO6OhnbYkSHKxK6LnXSY9gCIvLRJtP+OpPxhOkkYFpUGZslJnYfeRGR52NsNtS20oYwjgnSiDiqEsQBUaBdFmtNouoCcXmOcHiKwGQE8QJhpUmYSudDE1QhX5fIQtSQddoUxmelFjyMIN0npF3mQuDVA/I59M+It44VQk3acg3JuhIZSRYl113m4qAUA/ks4qZ42naqRB8DGpIn0DA87OTdUUMJ971Emp9vwrQr18CsL2RfPSQhd1sIqeYjqNwDzfuur2CuLOR6PFpVIn8JNr4rJXXjdf0tZbI+22dXIscALbjvN+DH/+muh/WEfifDWiinYv0NT0P3BAxekq5Dg9NiGec9CVHlGvLZGb26m0o/RgZxVbBBwtmNg3zp+z/GF5/+MZ4/9wBrvUWGk5RxFlLkoYTVS/HAsUam1wUBcWx3euCHIYRRoV3xcoyVITN5ZjCRkRGvsQVrCEJLHJY06iUri0Puu2fIgf0Z7ZallmQMxgFnLlQ4fS7m8uVESuCSCSvtPrVqybSs0B83yMuEKI44cjjn4YdKDhyIRLw3njIeTultTehtB4yGhmluqKXQak9JKwEy7r6gUbe02wH7DqaEaZVL6zVOnYs4c7JkY6NgOpY2va3GmKXmkE5zSqOek1ag3bR0OrC8EpPbhMtbLS6sJXR7MWFgSNMJSVRiy5zxRFoFV9Mp1oTip9iIMA6J4gpJNSJK6wzGFbqDhOk0JEngV38V4l16a3hCfwPYUiJhq1+Ei1+E3otyAQ4SuZUTIQhbCAlYo+H4SMk7EDJyBBe1xBsNNMduohmx20w8uELzx8mSEGeZiSDKRBCvQFJHvFAjAr6oIlGE0SUotsXICGKoLEDUkXUWmr+2mYr6KnKMuAWE+nigx2xKXnd8Xo4TtYSkQxXOEkrKgBxiJWJroP+yGCFhTY2SRNYYdyBahHxDiD8fCJnHbUiacuzptpB1sixrK4aaW0fV6s5bL/Tz0ly6zWRfZi66GKgqHmnNC1reVtHytvFlMRowYki03iEG1Pi8fIZxU2rW08VrE8wVUw2tK5H3vgebT0sUdbIuUYpyCpNtYBvxyt8MBmhKg5zqvXD/b8IDv7rr4T2h360oS7G6h6vi0fdflXzO4Iz++NZUbTmSCxNTxKN/vVfvxHYVJtMmT597D597+kN8/aX3c3L9XnqDJuNpwjQPpWGNFRFdXljR4hgLAcShtNUNMKRVSxQVxKFMtSuNwVpDWUrL2SgKCLQvQBBZ0jCn05pwz74Nji6vs9zu0qyOiWLLZq/Nq6srnFtbYaNfp7Qx9TosL0EUGyaTiO2+pchzFltDjh/a5qHjXarplLxMyIqIfj+mO4jZ7odMshBLQqtjaLcjbJhKN71gQqs+YqmxxWKrx3SYc/p8zKlzFS5crtHrJzIKsmbpLAQsdkra7ZB6IyBJDJ0Fy0ono1GbMBqXnDsfsbYeMhpLeV2lkpEkMZMsJLcVCFIazZjc1LAmJggTTGCIY0hdv44MPvpR2GV6qif03VAW0H1FSP3Sl+T8KHLx2E0IdiRkhtZT21AIjVg990A99kxFc61ZAxUXNiZQoV2mOfaJ5IOjRcnvFhMJ91uE+OKmkroVEjQRZEOYXhbyLpX84gUhZGeATHtAJqQYVFQh3hAFa6Hh7cqSvLfxqpz/1opxEbfVIElk//klQIVo6YJ43P1Tsp/Kghw7MCJWq+yTfY/OqTc6FU89bEjqouhDNpbHkiUh5Ym+FxML+UdtIUETKLEb9cgDNZLE0N/pClcWKk4MZN3JokQ8pptyfSuncuz6fVA7JMbZ+LR8t/Uj0qDmrXaYy0Yidhup4G3rWeg+L47UpCv7LlW5zjZvmCN/DWoQH4DGQTEy0hW45+fg2C/v+ipP6B6vhbUSmp+sS8ei/hnovqA5n/MwXJMTY9oDO2Dm1TsEWBtyubePR5//Cb7w3Id59uzDXOzu04ETEXkZSQlcGVBoCb8xAUFQkiQlxkISlxBIbXscFVSSgrIULzUrAjDSuS6KM0wBxJbYBFRrJUsLU44dHnLvQcvCQkq1HTPNqpxdjTh9OuDCxYjRwBKFOe3mmKWFEXkO2/0ao3FIFMLBg2PecbTL0UMTgjhhUrbIygrd7TtCQ44AACAASURBVJReP2E0yJiMC5JoTKs6oJ72sWWBMSW1tKTdzFlZzqhWAzaHdU5fWODU+TqXNqqMJwFxaGg0StrNCUsLU1GlJwXVSsFCJ2ff0pQgNPT6Vc6uNtjs18htQrWRklZSgjhhPAkpSyHsNBUnzd0HaLXgp35Ko8FvAk/oV4Eyg83n4cLn4fJX5SJtLVCZqbOLgZBRoP3InTcfRipfKeSCHtbF+w0SIT3XyGo+dJx31esN1NvugMnkfCtyzUkvaasMo/qdioTvpxtK7JmsPWorgUbaZWeoOqFQwttRAmFT1mIL2c6lCsaXZS0WMUiijhgbQSqGRr4uxJyuCGGOVfQVhBLyDlpIk4qWeO/5QIyF6fZMxBY1xSfItuWzTJdkX8VYpqnZUqIgyaIaUbkaRNpvw2pVQRhoHa0MSoIcCieiC+U48YKWzq3KWk0oDWdaD8rrRmckDZIuSr49ae3+u7BWjJTJJfHyt0+KR771ghgw2VAMNJMJqeOul7uhCtGKaLWSBTGykpZ89vd+DA7uXlHqCd3j6lHkQuSjVeli1D8lRN99Scp+Rpclx8gIV6efFwHfO/MOPvvMz/LYCz/OicvH2BwsMMkSRtNIRuBYKYOTeQxGJtvpUJskLCkNxFFJJS4Iw0LEdcY1vUkII0OSqFFgDBhDmhqazYJ7921z9N4++xaGNGsZSThloxdyZrXB6dUmG+sVpoWhXslZXJxSrVimWcLWoE5ZxtQaluNHCh75oR6N2pgiGzMdTRj2c7o9w/YgYjyJyAtDs2ZptTOiJAWTEiURjXZEp1mwsk9SGBdWDadORpy7ELGxGZAXljQtaDcLlpYKOi1LrR5QqUld/cJSyvKBCrlNWb0Yc+GCtFEIQ6jVhLzLUrqiWQvVqoqEA3nuE5/YPYLoCf0tIBuL53XhC3D5Mblol1bFWghRFiMhGRPPRF1ort1YdrqeBZU5zzfQ12jIPkxEYZ9vamjfQqUtxIsRoiAT7zmoQ1KdvT5MldhVIFuMNIRdFWIwFTCFEGip8+KDRI4Z1oTkUHFf1JT7E83zllZFbu0ZsecD2VfcnpWOjc6JYWEqkLblNWEsRBm2xFmYrsvrooYSVkMMo3xbjITKkhD8ZF2qfEyk3rrm6p2y3QQS5jaaO7dy/hNGsl5c4zAzJ7qL1WE5I99H1JCa9cp+9eJPy/Eax0QPELzOIi5U2Di+BMPL0HtBGsIMXpFOb+VYhJTlFPIthMivpFeqQrgoEY50ST6rpC1EHmpU4sDPwr0f3nUvntA9rg/KHMY9Cdd3nxUByMZToiadbEHZZ3O7wle//wH+/JkP8+yZ93Chu4/BuM5kEorXbiOK0vWGB0NAEJXEYUkYGKLEEhpDEBmqaUGYGEwp4cc8l7K5MMxJwlIunqUlTkpqFctCa8Sxw33u2T9moQP1eklZRpy92OLM+ToX1ur0+jFBBAutKYudCWUxYbAd0B8YIpNxYGnAA8e3uP/ePmFomOQJWRGzPa7TG9QYjqqM8pgwNLTbJe16TlHIiN0kzmhWp+zbN6XdmNIfhJxcrXHqbJ2La1WGw4QgiqjWQxaWE5aWQ5rNhGrNUK1Cuw0rK4gIbxvOnoX1dRiNxDuvVoXAXdvTIJDXfPjDPod+3ZGNYPMpuPA5WPuGjLa0zFTYdqrtOkvN9arHbhJwUwvLjJ2uZ1FLPGDXhjowooyPteY6G0gJVplJyD2qieguHwNjJeSmlIhh2emkVmaSMssHEkEoEcMiaUs43JZgxzMhn4m17C5RHUCpHnxdzidXI12WkiYIm7Mce6k6nGRByKjMxfAvtiXnn3a0JLYiIjqMpBiyTdk2bsnnYCKNdhTilcc17ed7CYkEJjJlzYSz2nRXmWNL/awdAbsQfanvz6iGoKPT2zRnP1mXx2uHoHm/bNc/IcZUdT/Uj0uIPtsWIh9dkuvc5nPQe14GqEw3NKyeixFVbMl3c8WOoVUIFyBtijahsqSiQDX2wor2qT8CC++B1v277s0TuseNRTaUvFXvRVh/Errfo9i+wPdebfKFb/8wX33+R3j14hG2hk1Gk1Sa1hBiiShLmYJnjJHmM0AUlsSxpUQmWSWRjG0NA4spXV18QBAbkthiKDFBSGACkhQatZJ7DmYcO5pzYJ+lVslJ4xHb3YyTp0LOrKasrcdMsoBaPGVlcUilkjOdVuiNUrI8pVqzHD884aGHMxY6AWUZkhcho5Flu2/pdg3DIWSZlfK39phqAgUhoYmoNwztpYT9ByKitMrF9SonTyecPpuwsWGYToWkWy1YXISFBfHG3WOdjpA7wNoanDsH3a5cZ+t1GVZirdz/+Z/3IfcbhmwohuvqF2Dt8dcRe6Ae2gDQvuQmFc8xSDVMHoi3F+j8h7ihXnKkoWIrxG4iJc2hEHs+1Rx4Uzx0k4tXTiH7COpaJoeU1BkjIfKsLyHnMhMiDOoiHKOclcZaLUFDm+gQac7e6NpQQ8J1a1PCDyIh0mIoP7yko6p8VbDnUyHnoCmWZ9zWfuxjyNYkdG3U2IjqQtbFUPYfLcmasoGkAEwohkHQmqUdXNnZjoBOK3SMvn+r3T6tGjxhRcV4oZaxnVUjoiPeerIsOfHtE2LwRE0h696L0P0+9F+E0drMcMumogdAtQq7IgCq8vmnbYgWNALTlr9RXaIWtUMySa6yIveTJTFmdoEndI+bi3wqYa3xGnRfZOvsS3z1azGfeewIz756kAvrSwxHCZMsICsCSivhbIuhtCGBMZjQksYlIUYilkbazFYSUcIbDbvlhcFa8fLTsMAaS2AtYVBQq2R0GiOOH9rg4PKQ5YUR9eqUwiZc3Ghw8vwi59ZadLcrBEFIp1OwvJRR2pDhMKI/DLFY9i+NecexPg8e7RFHlsk0IMsNg2HEVr9Cf5gymaaYKKazENDuJOQ2lU5eSUyzadi3T0h6OIQzZ+DECVhdlaEjxoj33enA0hI0m3I/SYTol5eF5CcT8dovXRKvPYrEGPjIR7yHfsORDdVj/6J47KOzQmpGibsYa71xIQQdONFcIl9OGehzuRBRmAoxmwq4saKhqrxRZXzZF6V0YCRkHKZAKt5hkItAz+h+QvVgi1AIvZhIFCGbiOcdxkLKrp11oTMuSqsRBS3NM1bXV5X3bVWoZgM1VCrsNIApJvLe46asL5+IFxsUiFdahbgiXmnSklD7ZFMb76RCrFFVjaKRlr21hJCzLa3jjzW6UXmtt26NiuJiWYMbmGUC9dSZCeySjhgRrinOZAsItE98A7J1WPu2kPhkQyIO467ssyhUNLzJlUVuyNqoQVDTKIFWEqQLmrJoSw194yg0DgvRh4EYDflQUgCNo7sfwRO6xy2FlZO/GPX43nfX+fxnhnztiRqvnK7S2woYTgKmU0NeBpToBLgSMEZqbE0hvdhDSwmkVUsSWuIoJwxKDAF5IeI7YwKSNCc2FmsCgsAQxYZGzXJw34jjR6bs329pNAzVqqE7ijh1KubM+YTLaxHjSUA9zVhaHlFPc8bTiF4vIStCqhU4fnTEDz1UsrwcUlAjy1MmRUpvELHVTRhPIqZT8aLbbfG6XXi8WhWC3r9fyHptDV59VUj68mUh7DSFRkOIfXFRXl+pyN+FBdi3T677GxvyuuEQfvEXPaHfNGQjqV2/+Jdw+WuSoy0KKCNRk9tCiINciD1yyvhYyK10JVoIuYdVIdqwol6zBdcAKtQpRflEytty7VYXV9WQKLTpylTz9BW5gbzeWgm3F1N2eqm76EKgxyjn+tbvqPKRNQeak7aI5xqpUM2kGh1QMi0nmhJQVXs5VgGclW1NRTz36pLcz4cSArfZzFMlFm/dlEpyFYkmZFuyrrCqegKNelitAgB2Strc4ConKHHcFmjkIWyJ/md4SkVtayKcy7paereuoXRV1DNEvPGr4cgISJDBWC0xsuKmvOd4Gar7pDSt+YDkz6OGRGPcsCAXTageuKJQzxO6x57D5iZ86Uvw+c+OefbpnNWLlsEgJx9Z8tJSlJYsE4VwaeXiFIQlSVSSBIWk0VQUliYlcVJK1M3GZIXk6KPQksaFzHhGtq9VoNMccfzwNgf3j1heyKhXc0oMFy9XOHmuydlLDXp96ae+2CnpLABRyHBQoT+KMQaWVyIeeijigQeljGwyEYHxcChjBLa3RcQG4nkvLMyIPYqE8PfvF+IeDCSkfuIEXLggXrsLrbfbQuydzsxrd48tLsq+DhzY/bP2hH4DUEylMmT1y3D5US13G6snG0OWgxnP8ugm0TCy5tmDQB63rvxKVdqRNHUSMlLlo6vPLjPNlY/0NRUhdzcSusz0cRXAOaW4BVGE6zhTMiSE7cpREYFeaPS5SEVpKjgzkUYDgrlbKOF6U9XXaf7HJEJoYSSfUTmebR9oQ5kdr3SkhI2QbaylgsVIDZymbFeMpPlPkKgOoQKB66dv2JmkuaN+Rx8PdMJeX8sPt0V9PzwP3ZdhckaHo+Ty+VsQEtdGOVcFJXIqIuiLG6pcX5ZOefUj0DouofV0QdZjRxJ9CKWXPumyGENGe9NfofmNJ3SPPYs8h2eegc9+Fh57TEit17NMJxOy3EonyaLE5hb3Ww2CAkOpZF4QBJYwlFx7Esu4V4CyDMhL8TQqSUloCrCBtJ6NLc2G5cCBKfcfLdi/z9Bsx1QbIVvbCafPxpw9G3NxLWAyiahWQ1ZWhFQnE8lnF4V4z8eOwUMPSWi8KITYJxMh5o0NafU677VXq3rtM+J5dzpCys5rP3ECTp8WQdx4LN63y6svLc1y6M7jf//7vYd+y1DmsH0aLn9FJrttvyIiMDc3wQbSJ77QcK3rJBe6fHsiUXCjuV+j3mhYY2duOCDetXrtBNqFTEdvmnKmXjcxO3lkSvW0VQAXBkpepZB7aTWHj4bVXUvoTNXk6NrUw3eKeRvODA0nmAtrs/I915c9qgnhoyI7E0tUwcRSahe3NUQ+1pp0LX+LKrPIQ1SX/VijDXRUFBerOh+jfzUcbzVqkY8lEjDtirE1cq2zu1LJ4NIOdoKE0q9UavZ6aCMe0xACTptSZlg/JM1rWsclfJ4u63sZzVIUoY6Wjerye8i2RTswvQzVI9A8suuRPaF77HlYK7nhL30JvvAFeO45Ibd+X8iwLDWdlct5X5YWa3PCMCdNIQr0GhNAHFnS1BK7VJ8NKAoLpSFOhDiN3CUIAmrVgFY75PjxgHvvFdJsNOSYly/PwuK9nhx7YUG847IUj3wwkGOvrMCDD8L99wvhjrWyZTCQiIR7L8YIsS8syHsyRgjZee2Li/Las2eF3M+fF4/f2plRsLAgt3YbPv5x31jmlsOWUt60/g248BcyJnN0GSFiDbkXUw0rF5LrjnSIUqjNYyId8GKRbdwUsrCuIW3YCckbncVgrYrL1NMMrObadd9Gn3fhdhPN8tClayJlJfSOEmMYK/HbWW4aEENAvW5byglgC1VkVrTcrQroCWm1XC6usFNKV6JVAWrRxk3x6K2ZvQ8S7ZqnJ3CQg6mLgWNL7UinTXeCVFIXtpDSu2wLBqswvSjfx3RTwuzFRNML7j1nSCOttwptkU1FCDldlLayrWPQeQRaDwiJM5fuMIGsvbIknniQiHGS90VnNN2Sbp7ZGDrvhn0/uusKPKF73FaYTODJJ+Ezn4FvfUu81e1tEYI5D7gsZzejfTeMESINw9ktiuSxINDrj+pcrBXveL5+OwxFkLZ/v5DywYNCoK6MzBH7pUvsqNRXVuTveCzEnefiOd93n3jtS0uy7+lUbv3+zPN2XrsLp7uQvCPtAwdk35cvC7GfOSNGzmQy89r374ff/m15/ZvBE/pNhNUStM2n4OKjqow/Ld6mVa82t2BUuIaGqd0gEiIV0RnNsyshB4nkp12u3ZZCgm5glFWSLHNRYtucnSY4YSQGRIASGrpv/VtqO9Uy1zVqa9UwlFC82zAKdT1GT76hNtzJxIOXJhNCsqG2riUSoo+r4q3HsR40Vu8edtT1QU1r+Y18hrHm38NQPo8db9xK3fpkUzpdjnsiZss2xCMvNKSN6gYouLq5FldCCDSFxGsHofEgLDwipWbpgn6GWkkQqLAwXdRweqSjU3va531LtBb5WKIEFvm8Fj4AS+/ddRWe0D1uS1grBPr5z8OXvwwvvCDkNhoJIbqyLUfQDo7IY9XsBIH8nyRC7mWpPSGU4N1zxswMhDQVD/jYMbjnHiHmTmfmtb/yinjOW1szj7vTkeMPBjMV+tLSzGtPEjFGikKI/Y289k5n5rUnyWu99tFIjvnqq/K33xci/8f/WIyTN4Mn9FuEMoPtU3D563DxS7D9fRmwZDUUHhoV1Kk6vkQJOtZysgo6ylD7uOt+AyXJKNUwk5LsTr12JI/lUyGL0nmigRALqmQvkVy0MxqsRXLtbiKlE/AFCJkpuQdG1o+G3osC0LRCproBtDGMKysLtGtdUBPiciQfVrQ0L5LPwFQkQhAksn50/cVYRkvn21LD7u47o4Jy7uYmT853t7wW1CVCkLbFG195P6z8DNSWNNqSyXHDVKIpidbjYzWc3lX1/EBy9qX7TlQ0GDelhj9dkVa11eVdV+MJ3eO2x2AA3/gG/Pmfi/d+7pwQ2mg0I+fXE3sQCLnHsZBrGM7IvVIR0iz0nHfefq2mDpBlpxubI9X775e/7bZ48tvbcOqUeM/Oc65UxHOu1eT+cCjHqFbh8GF4+GFRqsMs197rCblPJnJrNGQf1aq81kUZOh15baUiRsXJk2JQ/J2/40PuexrWSle39W/Dpa/CxhPSjMmNaiWa5YzLKULu2gmNWD1VJ3LTH6ZR0ZyJVUiXzrxXJxRzufFA26lmGTttnEs7E6uV7HCvvK5kp9tdOZnlz62W1wEU6sEH6r0bza3jcthDFQRONSrgSHbO49+ZEaGfQRBq6N0ZA2pg7PyFmdft4IR81xtutHRb6sSX/5p4zmUuGomwKuVllX2zBjHOAJpoh7xMjY9sJOF369IpVUgaUnueLsos97QtxwxdSuTN4Qnd445BWcLLL4uI7qtfhZdeElJzIewsm3nu7qftQvJx/INeuyP3+Rw9zJ4LQ9mnC+F3OkLMhw5JSL7Vkv3Pe+2bmzNDwKnbR6NZqHx5GY4ehXe8Y0baeS4GglPIT1Q/02rNcu1uzfW6EPvCghD5ww/PIq9vBE/oewiljhy99A1Rx/ee1yFJGpaxRjlPZ2hbhHStNlKJE6TNbKQ/dCTUbhGvNgjBqEAt0BNgx4t3+1JSzcZaz+6I2pWCGSnDMyrSKzTvPO9923xG+u71O1TifoxuoqMj9HnP+Urd1W4FNKReUU+5/gCkNXnPcU0Eb/VjYkRNVsUoShZ1st1Um+L0Rb1fuM9K2/XGdekzX12WOvTqfnbaCZeqwM+H8nhlZddVekL3uCOxtSWk/rnPwVNPSaOWwUAI2IW2HbHvlKQGP+ixOy/eee0uzz5PonE88+KDQLZdWpJc+cGDs+YvTsz2yiuSax+PZ6VmlYoYHdvbspZaTcL5DzwgRoIL+Y/HYhRsbsr/WTbz2l2HONfnvdORxjJJ8uafkyf0PQhr5cLffR4ufV1q2gcntP1rCTYWXsydEtup4EMVm+mP0sbMpoa5OvJcy7dcvXgFUFLHSkg9Ug+5hJ06dKt5dFOy0yMd131N67+NFaGXK4MrXT/zqRoFGa/1ol2oYD4kvpc4JwbqkgNP9kHjgITVK/ugflBK7MqhTFfLtoWYq/eIh94/DdNLupsFVedrWC+oSOi9sqx92/dJSRtI1CMbqPLd9QgwEoGpHpKa9V3gCd3jjkaew/e+J+H4xx6bhaJdbXiez8Lx86H0+XC883DdaNL51qqZRvSCQJ4Lw1mNeRgK2e7bJ173wYNC9LWalKydPCkh+a0t2Z8jd2OErEcjOebCgnj9Dz4oJO3SAb2eiOj6/dd67e22HL9eh1//dR9yv61hS1Fobz4jA2E2HpdWytlQPWFt8pIXQgbGidgQog1T7UqXSp07KDkbiArQ0k3pM6/lcsBOSZzz2LFK3C4kr553iXjyRTEje+OsZBXQYaU1KtmM3O2I2TjmYnaM65bbfrtIkIlnLaguilec7Je/UaqpCK0FDwL53Mhl9vnkvBhEcUMGvZgA6ekeQOUQdN4JtXtk4IpruVvmWpo3nlUIGCOee5Bqf/5AvutkSYa37ILdzuddLgMeHrcHogje8x545BHJZT/6qAjpnn1WvGTntTtid3lzF+qeJ3aQx1z9d5rKzYXkR6OZYC3WqqFuVwj71Ckh93vugXvvFXJ/17vg3e+W6MFLL8l6Ll2SfdTrs5auly7JNs89J3n6o0fl5urPJxMxEJyQbnNT1rB//yzP7nGbwgRyET/4Qdj/EzDekKFHa9+ArW8quQ8gLLVzm5VuZkwhVFHdeCA/gqkj+ES891IT40UxE76ViDdo5m8un61eeaBEHgYSKSjd+NJc1lHCzoxyp8aPtMY+qqpB0WCnE52dqqrflYy53PjNIvgUIfGGeuPaMz3S7nZBJGQ72Z55zXauc15UE8FbelCqCFyYfOGdUP9psNr9brqlYsUcpppmsICb2x41tXGM1sznA5no5jrGNbgioe8G76F73JHIMmlY85nPiJhOGtbMJpW9kdfuJhg6sg7D2eOO2J3nPP9aVyrn7hfFrKxsntwX9Dx99VVZz/q6rMeFz8NQ7juvvV6XUPzhw7KfRFOnzmvv9cSB+L3fk7W9GbyHfpuiLGC8KZ77+tdh80kh92l3lp8tAwmlF9osJrBaUw5Shx5CUFXVvIalDLOcuUVfoyHfnSlm4UzdHszlrBwJl0r8OwI2VXvvnFCwE153QrpAPfsymHn55VTWXrq68AmvJfxrRQxog5ukJQ1gwrqKCF23PP08DFpKp30BXG/9sCoeedSQcHjYELHb4KwQedyG2jHZZnJRusGlS9B8B9RWkN7+pWgQisGMvAsdoBOmkodPl8TQiHcpWcGH3D3uYsw3rPniF2de+3AoYfM8n5HwPObJ3YXk52vbHYE6L9+F8ZNEy3eLWc69WhXPff/+GcG3WmJ0nDwpnn23K/ddVKAoZH2uv3urJcR+5IgYBtWqHG86hV/9VZ9Dv+NhS/Eee9+HtW/Bxrck5z5ZEwGW1dB3qaK2fAomE++6ULJCZ4kHgSrjnXeuP/Z5onaq90ItWlcWZ5Dny0DC+I50Xe06qN7NqfCV1Au3jebTXaQA10s+0Fy8y8FP9PZ2ase1qQ5OR1DRaoBU6/n1b1jVevGEnc5+oX4mznM3WurnpreZWELp6QqQ6BCqC/J44wg0fkg8+OEp+V7ithC1Uc1CEIu3H7ckLJ+0tf+AVYMs0vtvDk/oHh4I+bk2s48/Psttu6Yv8143zOlbgpnXDjOyd+Tr7mfZLLeeJDPSnzcakkRK3paWhNzvuUfuu0lqZ89KSD3LZkJmtw9H+E5pf++9knf3hH6XwapnOzgr3vvaN6H7nBDLtCuhY9B68lCItCiErAPNZTsPGVdjriFhF4J3w1tcGZwjcpf/3WlAY9WTd+HznUXKn9Kp2Y2GxVS5j0YYdpq+WGae+dUK55wIIETy4omI01xHOdcLP9DWkKinTCLitlAnooVtqR4I1LgJtWWvsVIxEOmoW9fsx1QhDvRvXcLm/RMwuSykXzsM1YM6QW0kIf7mA9C4f0be5UQIv5jM1apvQftB6Lxr93ftc+geHkJ6738//MiPSJnZo4/O2syurkoI23Whc4I49/9wOCP0KJJ9leVMqOYIv1qdkXu/Pzuuy9FbK/nv9XXxzJ1IbmlJvO/3vU+uexcuiB5gNJo1nnEe+fnzcksSUdf/wi/sTugedxiMEWJo3S+3w5+E6RD6LwvBbz0lM73Hl6SlaDHW5grR7AcdatvW0hEq6unDrDDd3ZwHDzs93h3RO1Ld8bz1uR2h3by63ZH162vSHZxh4IwMJeowFqKMWzKRLG6KitzMpRryDZ0FryK8INK8eAlMJNJgJnpoJVFTApF44m5OfaQDYoymHKxqCObr/Am0+U1VXpt2pH975TCMz8PoohhM7XdIeH50WjoGbj4pBofRzzofiTdfqGjQIumAKxD6btgThG6M+YfA3wIu60N/z1r7Z7duRR53MowRVfqnPw2f+hQ8/7yI6B57TMrNXG7bkbVzMpza3ZXEOS/dhdgd8abprBkMyOvd3HO3vXvNaCSivYsX4cUXJW/ebEpnuIMH5TXdrmzjprC544/HQvzz7Ws97kIEIVSaUPlhWP5hIelsCINTsPWshOm3X5RZ4NOedlqbIgSsVmtpmE1Ymy8v01I0R9DF6z1xh/mGMa8vWXM/0PnnDCJUcwZDIGHrIJ0RbLIg3m16QGvA74PGfTJHPF6Q0HU+lNn0vZflfXZfkHD3aE28YEBozkUAtPOdy/OXuZSlTdY13F2FoA5JTdeFevihPl+X/RmEiIuRGBLBRVlPEMvJufktWPuahtyXgVzC8xYJtVcWtCIhkX2GqdzqB6/pp7AnCF3xT621//OtXoTH3YU4FoX8e94Dv/mbEor/whfgu9+VHvK93mvD8c7BcWH0LHstiUeREC28NqfuyuCsfe3zznMvy1nOfH1dOuG517npao3G7LUgj6VutPUegTfO9wCCUMRf6bth8d36w81gvCWTxwYvQe8V6TE/vADTDSiG6qFPxSAoldR3BG5zTR1eQ/bwWgKfJ+9gZm26satBrH/TmUcct6VmO1mS0rHqAQlb1w5Jz/S4Octnvx5JA5KHoP0Q5B+ROv7hWdj8vvTT77+o5D4CqyG2QpX6RSlVAi6qUEzlZnqQ6wQ5NwDGDYsolfjH2v421DXtGCMVFdB1gL7MW59uSIlb7Zh8D+VIDIlkP1QOqMpep+ulS9f01e8lQvfwuKXodODnfg4++lEJh3/lK/CXfyk17vNNaxwxu0YwQSCetjvn03QWAneT4pzAztWyu31Mp7N9uVnpMFPhj8fikBu6gQAADn5JREFUoTvP3on0nDHhBrrsMXjjfC/BGMmP1/fJjb8qj5eFhKvHm+LlDs9JHnh0UYgo78owkawvOfudFrDa3tURuxPcudC8G+NqIu3VrrPCg7p4pnEHqisSPk/3aR14Swe6pG9M3FeDKIVI68kX3gfZJ8Tz7r0C60/C4AUYXJDcdjnR2npXI4+eqNr2thiLWj0IwaRqiOhgnEBbtFJAoe81QDQFrtFO1ILavfLZTNbls5yuqfL9MDIdT7vJVe4TYnc9+q8Be4nQf8cY8zeAbwH/jbV28402Msb8FvBbAEeOHLmJy/O4WxAEMpTl2DH4lV+ZheS/9jUJyW9siCftBHCOkOfr21052nwLWddzfp68X18K93qDwZXDjcey/WQi953yPklm7Wo9PN4SglA8w7gGzXt/8HlrRcRWTiW0nOsAltJ1iJsXsM0RuVNyBxVRhDs1vROd3YwcURDqwJOO6AwO/KTUiG+fgK1npOVu/6xMPcvHkE2kwk3e+KxTnotY2EyFdS7H7vLrsUYPtAbfpOrVq0GTLkLrXbKP4QkYnRcjqfNOqNwL01VY+7ZEIWqHZY56tMvoxCvgpqncjTFfAA68wVN/H3gcWEN+Gf8IOGit/c+utE+vjPW4mej14DvfEa/98cdf25FunlRd+1gHlzN3xB5Fs2uaI/f5sjiYtZ2dNxIcuc8jDGVNe2Xamobc/1OgxxWM83n4c9njpsGWYpz0TkP3Kdh6Xsn2oogIy6l05TPxrAa/cO13mXnssZb+EUr+2/XSJ5DHo1S2jepSnhY1xCAaXhAPPdLBL1Eso2ApYPnH4NDHdl3+nlC5W2s/fDXbGWP+FfCnN3g5Hh5vGa0WfOhD8FM/JSr5b34T/uIv4Nvfllnlr8+3u74VLrTuhry4ue0uh+5y8yDbuNC9MUL+jsznDQXn1c+Xtt0sXME4/wPEKHfG+e8Db2ic+2ibxy2BCaTcbOlhuZWFjDfdel5663ef0wY+l6R6YKdHvnZ3K/uSf89QTzwW4o4T2SbQsrg8EFLPdT57MhCPvf0uSWOML0iOP1mG1gPi4VcPX9Nb2xMhd2PMQWvtBb37i8Czt3I9Hh67wankP/EJ+NjHJL/++ONSBvfkk5J/396e5c9dPbsT0xkjZXCOsOc9eOexz5fMuRz5vFfvXusMh5uJ62WcW2v/CPgjEA/9+qzOw+MtIgglp19dkfa72Via9vRegc1npUJgdEZC5cVUeuMbpHlPqd3tbA8ynYoXxjoUR1MazlsPq6LOT9s60e0IlAMYXZZOgPGiqPivAXuC0IH/0RjzPsSqPwn89q1djofH1SEIpDnML/2S1IOvrsITT8gUuG9+Uzz3blfC8s5zDwIhdkfILj8OM6X8fG95F4Z3JO8IvSxn9fB7Bd4497jtEVeg87DcDn1cvPf+SSkB3HoKBiclH5+PVLVeqMBNh9cw1AZ3AdAVg2Gi+bYgEnFgrN3iXKtXG0p+f/P7cOCDb3vpe4LQrbX/ya1eg4fHtcKR+y/8Avz8z0tY/umn4ctfFnJ/5RUh9/FYCH06nYXXXWc412d+NJqp2qfT1+beXc7d/e8If4/AG+cedw6CQGaYV5dh5QMSOh9eElHdxrdh+2UYrUK+LR472k8a17innCnpy1LD82PpDBdsQHxZcumVRfHaq7vPQr8S9gShe3jcaQgC6d3+kY/Ahz8s4rkXX5TQ/GOPiXLe9ZR3JO5I3XnhaSrk74jbqd7dHPd5hfxegTfOPe5oRBVoHZHbvR+VRj3907D+Leg+C4PTWqampX5FBjZlp1mP619fZEL0pU6hK4ZQXRKD4VqWdx3eooeHxy4wRgaq/OiPyu23fks6vD3zDHz96zIN7swZaQnrGscUhdS9OzGcy5m7fLprYONy8x4eHjcZxkg+PH0Elh6RwTLjVei+CJvfhe1XpMnNZE08+BKpVTeuQ98YGbu6KUr3wVlID8MDv/a2l+QJ3cPjJqNahePH5fbJTwpxnzwpk+CeeEJU8+fOSXh+NJpNdHOtZ12I3TWrcY97eHjcQkSxtKVtHIZ7flq898FJ2NLWu9uvSvOevCvd4gor9e2op261pO1alnBd3oiHh8fbQhBI7/ZHHpHbL/+ykPjZs/DCC9KC9jvfEcJfX591q3ONaEajW/0OPDw8fgA73vt7YfG9kI1gfBG6L0mpWv8VEcFNu9p2N4OsgMqxazqsJ3QPjz2EKBKCf/hhuX3ykyKK6/elHO7FF6UV7fPPC+n3etKy1sPDYw8jrkJ8HzTvA/thGZXaPyme++YzMHhV2u7W6td0GE/oHh57GGEoIfpqFVZW4AMfeK0Svt/fk73cPTw83gzGSE/7yoJMxzvyaRl123tR2sFeAzyhe3jcZnC16pWKiO08PDxuY4ShjE29xtGpIJXvHh4eHh4eHrc5PKF7eHh4eHjcAfCE7uHh4eHhcQfgpo1PvREwxlwGTl1hs2VkNOtegl/TlbHX1gO375qOWmuvrafkDYY/l68r/JquDrfrmt70fL6tCf1qYIz51s2aBX218Gu6MvbaesCv6VZjL75Xv6arg1/T1eFa1+RD7h4eHh4eHncAPKF7eHh4eHjcAbgbCP2PbvUC3gB+TVfGXlsP+DXdauzF9+rXdHXwa7o6XNOa7vgcuoeHh4eHx92Au8FD9/Dw8PDwuONxRxC6MebnjDEvGGNeNsb83hs8b4wx/5s+/7Qx5kf2wJr+uq7laWPMY8aY997qNc1t91eMMYUx5tN7YU3GmA8ZY75rjHnOGPPlW70mY0zbGPP/GWOe0jX9xg1ez782xlwyxjz7Js/f9N/3jYQ/n6/Pmua2u2vP5712Lusxb9z5bK29rW9ACLwCHAcS4Cngna/b5uPAZwAD/DXgG3tgTT8OLOj/H9sLa5rb7i+APwM+favXBHSA7wFH9P6+PbCmvwf8D/r/CrABJDdwTR8EfgR49k2ev6m/7z3w+fvz2Z/P12s9N/Vc1uPcsPP5TvDQ/yrwsrX2VWvtFPgT4FOv2+ZTwL+zgseBjjHm2jvhX8OarLWPWWs39e7jwKEbuJ6rWpPivwT+b+DSDV7P1a7p14H/x1p7GsBae6PXdTVrskDTGGOABnIRyG/Ugqy1j+ox3gw3+/d9I+HP5+u0JsXdfD7vuXMZbuz5fCcQ+r3Ambn7Z/Wxt7rNzV7TPH4TschuJK64JmPMvcAvAn94g9dy1WsC3gEsGGO+ZIz5tjHmb+yBNf0z4GHgPPAM8F9Za8sbvK7dcLN/3zcS/ny+Ovjz+fqsZ6+dy3ANv+87YXyqeYPHXi/dv5ptrieu+njGmP8QuQD8BzdwPXB1a/pfgd+11hZisN5wXM2aIuD9wM8AVeDrxpjHrbUv3sI1/SzwXeCngfuBzxtjvmKt7d2gNV0JN/v3fSPhz+ergz+fr8969tq5DNfw+74TCP0scHju/iHE2nqr29zsNWGMeQ/wx8DHrLXrN3A9V7umDwB/oif/MvBxY0xurf1/b+GazgJr1toBMDDGPAq8F7hRhH41a/oN4J9YSXi9bIw5ATwEPHGD1nQl3Ozf942EP5+v35ru9vP5djyX4Vp+3zcy+X8zbohR8ipwjJnw4V2v2+YTvFZk8MQeWNMR4GXgx/fK5/S67f8NN15EczWf08PAF3XbGvAs8O5bvKY/AP6h/r8fOAcs3+DP6j7eXERzU3/fe+A34c9nfz5fr/Xc9HNZj3VDzufb3kO31ubGmN8BPouoGv+1tfY5Y8x/rs//IaLw/Dhywg0Rq+xWr+m/B5aAf6EWdG5v4KCAq1zTTcXVrMla+7wx5s+Bp4ES+GNr7RuWe9ysNQH/CPg3xphnkJPud621N2xqkzHm/wQ+BCwbY84C/wCI59ZzU3/fNxL+fL6ua7qp2Gvn8148l+HGns++U5yHh4eHh8cdgDtB5e7h4eHh4XHXwxO6h4eHh4fHHQBP6B4eHh4eHncAPKF7eHh4eHjcAfCE7uHh4eHhcQfAE7qHh4eHh8cdAE/oHh4eHh4edwA8oXv8AIwx9xljRsaY7849VszNMH7KGPNfG2Pe1u/HGNMxxvzt1x3vB5pLGGOqesypMWb57b0bD4+7G/58vnvgCd3jzfCKtfZ9c/dH1tr3WWvfBXwE6WT0D97mvjvA377SRtbaka7hdu1L7uGxV+DP57sAntDvUhhj/qaOL3zaGPOVt/JaKzOMfwv4HSP4j40xT6j1/S+NMaEe4z5jzPeNMf9Wj/N/GWNqwD8B7tft/yfdbWiM+VfqMXzOGFO9rm/Yw+MOhj+fPcAT+l0JY0wT+F3gx6y17wE++Vb3Ya19Ffn9fBD4FeAn1PougL8+t+kPAX+kx+khlvzvoR6Dtfbv6nYPAv9cPYYt4D96W2/Ow+Mugz+fPRw8od+dKJBZxL9vjPmAtXbrbe7HIEMG3g98U3N0PwMcn9vmjLX2a/r//8Gbz4k+Ya11Ob5vI9OIPDw8rgx/PnsAd8Y8dI+3CGvt0BjzbsSS/yNjzB9ba//FW9mHMeY4ciHZAP6ttfa/fbPDXeG+w2Tuf3eB8vDwuAL8+ezh4D30uxDGmAettQNr7Z8AfwpU3uLrV4A/BP4ZMtv408aYffrcojHm6NzmR4wxP6b//xrwVWAbaF7j2/Dw8MCfzx4zeA/97sTf15NyADwH/K2reE1VQ3AxkAP/O/C/WGtLY8x/B3xOy14y4L8ATunrngf+pjHmXwIvAX+gHsXXtLTlM8A/v55vzsPjLoM/nz0APw/d4w1gjLkP+FNr7bv3yH5OAh+w1q5dy348PO5G+PP57oEPuXu8EQqgPd+I4lbANaJAvIjyVq7Fw+M2hj+f7xJ4D93Dw8PDw+MOgPfQPTw8PDw87gB4Qvfw8PDw8LgD4Andw8PDw8PjDoAndA8PDw8PjzsAntA9PDw8PDzuAHhC9/Dw8PDwuAPgCd3Dw8PDw+MOgCd0Dw8PDw+POwD/P7jLsfxyQlprAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the depth domain\n",
    "plot_2D_depth_trajectory(s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the state-space\n",
    "plot_2D_state_space(trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in space-depth\n",
    "plot_2D_space_depth(s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Galerkin-Style Neural ODE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Galerkin-style Neural ODEs proposed in [Massaroli S., Poli M. et al., 2020](https://arxiv.org/abs/2002.08071) make the weights of the neural ODE to be *depth-varying*, i.e. $\\theta=\\theta(s)$ obtaining a model of type\n",
    "\n",
    "$$\n",
    "    \\left\\{\n",
    "    \\begin{aligned}\n",
    "        \\dot{z}(s) &= f(z(s), \\theta(s))\\\\\n",
    "        z(0) &= x\\\\\n",
    "        \\hat y & = z(1)\n",
    "    \\end{aligned}\n",
    "    \\right. \\quad s\\in[0,1]\n",
    "$$\n",
    "\n",
    "where the depth evolution of $\\theta(s)$ is parametrized by a trucated eigenfunction expasion, usually an orthogonal basis of some functional space, i.e.\n",
    "\n",
    "$$\n",
    "    \\forall i \\quad \\theta_i(s) = \\sum_{j=0}^{m}\\gamma_j\\odot\\psi_j(s)\n",
    "$$\n",
    "\n",
    "The model is then trained by optimizing for the eigenvalues $\\gamma_j$. Note that if $\\theta\\in \\mathbb{R}^d$ there will be $d\\times m$ final model's parameters. In this tutorial, we use a 10th-order polynomial expansion to model $\\theta(s)$.\n",
    "\n",
    "**Note:** In `torchdyn 0.1.0` only Fourier `FourierExpansion` and polynomial `PolyExpansion` bases are currently implemented out-of-the-box. Even though a wider selection of bases is planned as a future addition, e.g.  piece-wise constant functions, radial basis functions, etc., users can easily create custom `Expansions` on their own given `torchdyn`'s modular design."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# vector field parametrized by a NN with \"GalLinear\" layer\n",
    "# notice how DepthCat is still used since Galerkin layers make use of `s` (though in a different way compared to concatenation)\n",
    "f = nn.Sequential(DepthCat(1), \n",
    "                  GalLinear(2, 32, expfunc=FourierExpansion, n_harmonics=5),\n",
    "                  nn.Tanh(),\n",
    "                  nn.Linear(32, 2))\n",
    "# neural ODE\n",
    "model = NeuralDE(f, sensitivity='adjoint', solver='dopri5').to(device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GPU available: True, used: False\n",
      "TPU available: False, using: 0 TPU cores\n",
      "\n",
      "  | Name  | Type     | Params\n",
      "-----------------------------------\n",
      "0 | model | NeuralDE | 1 K   \n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "824bed2e79e843cc97b16d80b603ff59",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', description='Training', layout=Layout(flex='2'), max…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# train the Neural ODE\n",
    "learn = Learner(model)\n",
    "trainer = pl.Trainer(min_epochs=150, max_epochs=200, progress_bar_refresh_rate=1)\n",
    "trainer.fit(learn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Plot**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Evaluate the data trajectories\n",
    "s_span = torch.linspace(0,1,100)\n",
    "trajectory = model.trajectory(X_train, s_span).detach().cpu()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the depth domain\n",
    "plot_2D_depth_trajectory(s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the state-space\n",
    "plot_2D_state_space(trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in space-depth\n",
    "plot_2D_space_depth(s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data-Controlled Neural ODE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Data-controlled neural ODEs, also introduced in [Massaroli S., Poli M. et al., 2020](https://arxiv.org/abs/2002.08071) consist in feeding to the vector field the input data $x$ (the initial condition of the ODE), leading to\n",
    "\n",
    "$$ \\left\\{\n",
    "    \\begin{aligned}\n",
    "        \\dot{z}(s) &= f(z(s), x, \\theta)\\\\\n",
    "        z(0) &= x\\\\\n",
    "        \\hat y & = z(1)\n",
    "    \\end{aligned}\n",
    "    \\right. \\quad s\\in[0,1]\n",
    "$$\n",
    "\n",
    "In this way, the Neural ODE learns a family of vector fields rather than a single one. \n",
    "\n",
    "In practice, we concatenate $x$ to $h$ and simply feed $[h, x]$ to $f$, which should indeed be defined to accomodate the extra $dim(x)$ dimensions. Data-control inputs can be defined at any point in `f` via use of `DataControl`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# vector field parametrized by a NN which takes as input [h, x]\n",
    "f = nn.Sequential(DataControl(),\n",
    "                  nn.Linear(2+2, 64),\n",
    "                  nn.Tanh(),\n",
    "                  nn.Linear(64, 2))\n",
    "\n",
    "# neural ODE\n",
    "model = NeuralDE(f, sensitivity='adjoint', solver='dopri5').to(device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GPU available: True, used: False\n",
      "TPU available: False, using: 0 TPU cores\n",
      "\n",
      "  | Name  | Type     | Params\n",
      "-----------------------------------\n",
      "0 | model | NeuralDE | 450   \n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6d62d6a8c0224069a187309514f436a9",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', description='Training', layout=Layout(flex='2'), max…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learn = Learner(model)\n",
    "trainer = pl.Trainer(min_epochs=150, max_epochs=250)\n",
    "trainer.fit(learn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Plots**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Evaluate the data trajectories\n",
    "s_span = torch.linspace(0,1,100)\n",
    "trajectory = model.trajectory(X_train, s_span).detach().cpu()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the depth domain\n",
    "plot_2D_depth_trajectory(s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the state-space\n",
    "plot_2D_state_space(trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in space-depth\n",
    "plot_2D_space_depth(s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stacked Neural ODE (aka Piece-wise constant parameters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "While looking for an \"easier\" solution than Galererkin Neural ODEs without trading the expressivity of the model, **stacked neural ODEs** may come in handy. Instead of approximating the solution of an infinite-dimensional problem (e.g. Galerkin-style), we can also use piece-wise constant weight functions. Let us subdivide the depth in $N$ intervals\n",
    "    \n",
    "$$\n",
    "        \\mathcal{S} = \\prod_{i=0}^{N}[s_i,s_{i+1}], \\quad s_0 = 0, \\quad s_{N+1}=S  \\quad(\\forall i  \\quad s_i\\leq s_{i+1})\n",
    "$$\n",
    "\n",
    "We can then define the weights as piece-wise constant functions \n",
    "\n",
    "$$\n",
    "        \\forall i  \\quad s\\in[s_i,s_{i+1}]\\Rightarrow\\theta(s) = \\theta_i, \\quad\\theta_i\\in\\{\\theta_1,\\theta_2,\\theta_N\\}\n",
    "$$\n",
    "    \n",
    "The solution of the neural ODE becomes \n",
    "    \n",
    "$$\n",
    "    \\begin{aligned}\n",
    "        z(s) &= x + \\int_0^S f(z(\\tau),\\theta(\\tau))d\\tau \\\\\n",
    "        &= x + \\sum_{i=1}^{N-1}\\int_{s_i}^{s_{i+1}} f(z(\\tau),\\theta_i)d\\tau\n",
    "    \\end{aligned}\n",
    "$$\n",
    "    \n",
    "This is equivalent to stacking $N-1$ neural ODEs with **identical structure** and **disentangled weights**\n",
    "    \n",
    "$$\n",
    "        \\begin{aligned}\n",
    "         \\dot z =  f( z(s),\\theta_i) \\quad s\\in[s_i,s_{i+1}]\n",
    "        \\end{aligned}\n",
    "$$\n",
    "    \n",
    "which are **stacked sequentially** and trained with *classic* adjoint method.\n",
    "\n",
    "In principle, $f$ can be chosen arbitrarily. Hereafter we consider, e.g. the `data-controlled` case.\n",
    "\n",
    "**NOTE:** Let $\\Delta s_i = s_{i+1} - s_i$. Since the individual Neural ODEs are *depth-invariant*, we can just solve the ODEs in $[0,\\Delta s_i]$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We choose to divide the domain [0,1] in num_pieces=5 intervals\n",
    "num_pieces = 5\n",
    "\n",
    "# Stacked depth-invariant Neural ODEs aka Neural ODEs with piecewise constant weights \n",
    "nde = []\n",
    "for i in range(num_pieces):\n",
    "    nde.append(NeuralDE(nn.Sequential(DataControl(),\n",
    "                                      nn.Linear(4, 4), \n",
    "                                      nn.Tanh(), \n",
    "                                      nn.Linear(4, 2)), solver='dopri5', s_span=torch.linspace(0, 1, 2))) # here we chose Δ𝑠_𝑖 = 1 ∀𝑖. (s_span)\n",
    "model = nn.Sequential(*nde).to(device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GPU available: True, used: False\n",
      "TPU available: False, using: 0 TPU cores\n",
      "\n",
      "  | Name  | Type       | Params\n",
      "-------------------------------------\n",
      "0 | model | Sequential | 150   \n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3a95b5b699f746c481f09b678f230d5e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', description='Training', layout=Layout(flex='2'), max…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learn = Learner(model)\n",
    "trainer = pl.Trainer(min_epochs=300, max_epochs=350)\n",
    "trainer.fit(learn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Plots**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Evaluate the data trajectories\n",
    "s_span = torch.linspace(0,1,20)\n",
    "trajectory = [model[0].trajectory(X_train, s_span)]\n",
    "for i in range(1, num_pieces):\n",
    "    trajectory.append(\n",
    "        model[i].trajectory(trajectory[i-1][-1,:,:], s_span))\n",
    "                      \n",
    "trajectory = torch.cat(trajectory, 0).detach().cpu() \n",
    "tot_s_span = torch.linspace(0, 5, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the depth domain\n",
    "plot_2D_depth_trajectory(tot_s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the state-space\n",
    "plot_2D_state_space(trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in space-depth\n",
    "plot_2D_space_depth(tot_s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stacked Neural ODEs with Discrete State Transitions\n",
    "\n",
    "These are basically the `Stacked` model where, at the end of an interval $[s_i, s_{i+1}]$, the state is also updated by learned transition maps $g(h, \\omega_i)$ parametrized by a NN, i.e.\n",
    "\n",
    "$$\n",
    "  \\left\\{\n",
    "        \\begin{aligned}\n",
    "             \\dot z &=  f(z(s),\\theta_i) \\quad s\\in[s_i,s_{i+1}]\\\\\n",
    "             z^+ &= g(z(s),\\omega_i) \\quad s = s_{i+1}\n",
    "        \\end{aligned}\n",
    "  \\right.\n",
    "$$\n",
    "\n",
    "**NOTE:** While not standard, this class highlights how Neural ODE variants can be put together hassle-free via torchdyn's API.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We choose to divide the domain [0,1] in num_pieces=5 intervals\n",
    "num_pieces = 5\n",
    "\n",
    "# stacked depth-invariant Neural ODEs\n",
    "nde = []\n",
    "for i in range(num_pieces):\n",
    "    nde.append(NeuralDE(nn.Sequential(DataControl(),\n",
    "                                      nn.Linear(4, 4), \n",
    "                                      nn.Tanh(), \n",
    "                                      nn.Linear(4, 2)), solver='dopri5'))\n",
    "    # In this case the state \"jump\" is parametrized by a simple linear layer\n",
    "    nde.append(\n",
    "        nn.Linear(2, 2)\n",
    "    )\n",
    "    \n",
    "model = nn.Sequential(*nde).to(device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GPU available: True, used: False\n",
      "TPU available: False, using: 0 TPU cores\n",
      "\n",
      "  | Name  | Type       | Params\n",
      "-------------------------------------\n",
      "0 | model | Sequential | 180   \n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8eb7f7b0764e4c28a0a2775584ea0f15",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', description='Training', layout=Layout(flex='2'), max…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "learn = Learner(model)\n",
    "trainer = pl.Trainer(min_epochs=200, max_epochs=250)\n",
    "trainer.fit(learn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Plots**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Evaluate the data trajectories\n",
    "s_span = torch.linspace(0,1,20)\n",
    "trajectory = [model[0].trajectory(X_train, s_span)]\n",
    "i = 2\n",
    "c = 0\n",
    "while c < num_pieces-1:\n",
    "    x0 = model[i-1](trajectory[c][-1,:,:])\n",
    "    trajectory.append(\n",
    "        model[i].trajectory(x0, s_span))\n",
    "    i += 2\n",
    "    c += 1\n",
    "                      \n",
    "trajectory = torch.cat(trajectory, 0).detach().cpu() \n",
    "tot_s_span = torch.linspace(0, 5, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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xWBAYFw5qs1HpVsTr6wcGx9XUBM8Ca6F3dakrvVjUvp5Ow8KFQZ/t6wvWP4/HobVVrfTx4ATd4RgDK1cG82FW3EEfALaThwW8tjYY6ZcLuB0YNDfrZoW+v18FvKMjSHFLp2H+/MDV19DgxNwxS8kchXvfP0YhjxBY5FbIU0AaOBg6P7CiIbCy02kVVxvUlk4PjExPJIKYGDuAF1HPWleX9mubctrcrPug/Xn//qDmhHW1t7bquW1BrZsx4QTd4RgDK1YMTGGxOeFhC9we7+zUkbhdHjWV0gfAnDlBDiqo+7yrS8+z1kJtrQp4Y2NgIVg3vnXvTaWgi8hi4FpgHuABVxljvlp2zquAW4Hn/EM/NcZ8Yepa6ZjRZI7Cbz4AR28Z4QVWyO2rQUW8hEpcLZAeNILUutKtFW7nw22KWXg+vKYmsNCTSe2r3d26zKrnBQOB1la9b7GoIt7dre9TKVi0SM9pa9N+3NgYPBPG25erStBFZDvQg/4lisaYddPbIoejMtb1ZoNewgVeurtVwG2ZSNtZ29rUhW6jYzMZFXtbStJGtDc0aCe3uaupVJDSlkgMLGIxDRSBTxpjHhOReuBREbnbGLO57LzfGWPePA3tc8xUMp3w2w/AkZ+O4qKwa92g/54egZDX6Gni55DWzIeugRb6SSfp4DocwFou4lbw7WJIXV0q1qDnt7cHg/N8PhiY2+fD/Pna/63Vb7/HrtwGA1deHCtVJeg+5xhjDk93IxyOoTj55CC6vasrsMA9LxjF2zxUK8B9fTqStwIejwei3dgYnG/n461br1IluEIhqGw13mIUo8EYsw/Y5+/3iMhTwEKgXNAdjpGR6YT7PgQdN43iIiviEVTICwRCXgekVMSNB4kU1CyClrOh/WXw4PkD7nTqqcGUmO1zdhBt58r7+3WaLJsNRH7u3GDKq79fB+eeF9Rlt1b4nDnBtJudhrPYgX02q5tNdxsr1SjoDkfVY4NdrJvNdv7GxkDo+/r0IRCux25rN1sL3Fr3YQGvFLVeKGhQXD4fzL2Dnmtz4qcaEVkGPB+oVCz7xSKyAdgL/K0xZtMUNs0xE8h0wn0fhI6bR3FRWMg9BlrkdUDC/8hAPAW1S6DtJdD6UoiUIHcEnUfPYC10O6i2Frp1sw8W1FZXp/2vv79yUNucOQNrtKdSAwflpVIg4Pl8kL5qPX7jodoE3QB3iYgB/ssYc9V0N8jhqEQ4aCYW007a2xu42u0ceHPzQBe6dd/ZlDabax7GmOMF3E792Xm4ocR/KhCROuBm4OPGmO6yjx8DlhpjekXkjcDPgONKZojIpcClAEvGm4DrmDlkjsJv3g9HRxrsBgMj1q1Fbhgg5IJfnrEO6k6CtpdDywtAclA46EeqtQKr0H9RZfly7ZPG6HTZ/v1BsGo4qM0Y7eMHDgRBbe3tKuCtrQOj4FOpgX2zWBwo4hDEyJRb7eOh2gT9pcaYvSIyF7hbRP5kjLkvfIJ7CDiqgcWLg7QTzwtS01paggC2pqbAfR62wMsDX4wJhDuXUzEPC7i9tpL4TwciEkfF/DpjzHETnmGBN8bcLiLfEpHW8qk0f8B+FcC6detceZzZTn+Hn0f+i1FcFI5Yt8FuEEStx/RzARIN0LgSWl8OLc+DUjfkdkMkATULoGEV1C2Fmt9CfyDofX1BZHo6rQLd0hLMh/f2DgxqW7hQBby1NYh5qRTUls8HIm7n221a62QtqlRVgm6M2eu/HhSRW4AXAfeVneMeAo5pp6NDBbatLUgfswJuR92DRaF7XiDgdrPYIBor4NWWkiYiAvw38JQx5iuDnDMPOGCMMSLyIvSJPM6SGY4ZR6kAm74D26+H7EEoPjOKi4WBQm4LwiSApP9agkgMEo3QfDq0vwpqFkOpDzK7IJKGxlOh4XSoaQfxO1PbWbDDfof2sfZ2FXFbsMlWcrP9ccECFfA5c4JFVqxlHQ5qswKezQZTbTbzpdxqnwyqRtBFpBaI+IE2tcDrAJfq4qhKzjorSDcpF/Dy+WxbstVutuSjnVevqxv82irkpcD7gCdExK4/9/fAEgBjzJXA+cD/JyJFdLLy3cbMjgK1pnMrHY/9lF2bnmXlOe+kbvVrp7tJ1Uf/Ufj9R+Hgj4H8sKcPxIp4BBVx+2+TQC1yP5o9EoVkOzSvhbkvg3QLFHt04JCoh6a10LgKkk3Hd6q5q3xBV5YvV8+Y9bbF4zpAt+lndmqtknvc84KgtlxuYG33iUpFGw1VI+hAO3CLGgDEgOuNMXdOb5McjsqccUZgRZc/L+zaynaz7jY7Wrc5rOG10GcKxpj7Ca9qUfmcbwDfmJoWTQGZI3jbfsyh9XfxxKYCj2xbwdZ9Z3Le7mt5/ZecoB9j5x/g4Usht3H4cysSLs9qXetWyP3Po0lIz4OWF0H72SAxKPVC/igkW2DOaVC3AhI1g39N86IBbw8fVvf33Lk6X269boMFtVWaDw9Xi5vOgXnVCLoxZhuwZrrb4XCMhHDtZ5tCZje7VrpNg7Fz4DNRwE9YchnY/QuK237Evj89wxM75vL4jrU8tfcU9nQsYOfhZdQlO3n9dLdzuinm4bEvwZavAJ1jvEkUjVQvhY7FUde6H9Eeq9GI9bkvhsYzgaK61iNpqFkGTav088gIfNoNzf6OdsbVqysHtY10PjyVmvbaEMeoGkF3OGYSvb2VU8is1T5Y/rijiinkYN/v4LkfktvxALsOGdbvPIP129/Clv0r2Ns5j87eJgqlGId6W3lwy4umu8XTx8Hn4A8fhJ5fT8DNrJALapH7gW7EINkIDadC60ugZiF4OSj1QLIBap4PjadBas7oRsqRgSHla9cG5ZuHmg+HoErjVMyHjwX3yHE4xkA46nWw9DPHDKBYgIMPwbbrYP899HYf5rkDC9iw8yw27ngeWw8sZX/XfLoydZhShFQ8Q1PdIbYeOJldHUunu/VTi+fBk1fDk/9IUA99IhDUIo/pvtRAcg60rIWWs3RO3MsBeaidpwJfc9LQbvWhKBtp2wVRKs2H2/S06ZgPHwtO0B2OMTBvXvV3bscgFPOw7/ew/To4+Gu8zC46+2p4Zv8KHtv+SjbvPp2dhxdxoLuN7mw9UeORTvRQW9tPNOJR8FIUiHC0f850/yRTw6Hd8McPQNfdBEFqI8GmnFVeslSJo271OETrIL0I2l4A9SsgEletjyWh7hSoXzUwWn2C6O2tzvnwseAE3eEYJU1NTsxnHLle2HMXbL8BDjwIZg/5QowDXXN5avfL2bBrNc/sX8nOwwvp6Gkhk63FRErUp7upjfYTiXgUvCS9uRSlkj7hM8Va8vmJKwpSVXgerP8a/OlfgNFW4raR6kO5rOL+OUmIz9H0spY1kG7T62NpSLVD4ylQs3zs1viQ6N+xu7s658PHghN0h2OUrF073S1wDIvnQcdG2PZT2PFTKD4NFDEG+nNpth88hc17TmfDztU8d2gZe4/Mo6u3iUwxRTxaoLnuIIlYjkg0SiafIpdNUCoJRRPDeDaIC56581FWv/UF0/qjTih7n4SHLoHsI2O42Aq5lO2XkwLqoWYeNJ2hxWASdRBJQaIF6pdD3UpIt06aeXzoULDf3j57psucoDsco2TFiulugWMAuR7o2Q77fw9774bDDwF7BpxS8iJ09Mzh2X0n8+Tu09m8dxU7Dy7mQFcr3ZkGSiZKKtbP3Pp9xGJ5jImRyddTNDFKRcEjQbEUoehFKJYCk/zuH/165gt6Pgu/uwwOXMfo88YtNuUM/7WEuue90DlpSLRB3XJo9Iu9xGo1V7xuGdSvhPTCkUWqj5NHHw21fJaIOYxB0P2iL1ljTGnYkx2OWcjznz/dLRievr4+UqkU0dnytMr3Q+9e6NoMhzfC0cfhyJPg7QByFS8xBjK5FHuOzmfzntN4cs/pbN23nL0d8+noa6E3W0tEPGrivdTWdBOLlCgUk/TnWsiVBI8oXilBoRihWEzgEaVYjJAr2XQquHdDE5+Yut/CxPLY1+BPX2B8RfzC9dVLZccjaNR6FkhB6ys00C05xxfxpepOr18K0an1c//osdVT+n1TxbCCLiIR4N3AhcAL0d6TFJFDwO3AVcaYZye1lQ7HdHJwDzz0fuAnQAMnnTTdDToez/O48cYbue6663j44YdJJpPkcjna2toAFonIyhndT286Ddg1olOLpShHepvYsv8kNu85jad2r2LXkUXs72yjs6+ZXClGIlJkTl0H8ViWWMQjV0zRla3DK0YoeHHyXpyCiZHPJ8kXoxS8OIVCnN5CiqDQCWzcc9bk/LyTxbY74OGPQWmi/hXK7boIOj9uF1MRIAaNa2DJ26BxBdQuh9rFUy7iYTZsmp0phyOx0O8F7gH+N/CkMcYDEJEW4BzgiyJyizHmh5PXTIdjijmwG+47HwrHrww6b940tGcYzjnnHF7zmtfwb//2b6xevZqIH7V35MgR5syZ08uM76dDi7kx0JetYfeR+Ty19zQ271nF1v3L2Nu5gMPdLfTl6gBDOpqhofYo0VgeY5J09beQLybJ51NkvTilUpJcUSiVUmTzYEyMnI3CrvC43Nu56LhjVceejfDgxZBfP/y5YyZGYK379dYT9ZBuh0QTLHoTLLsAUo2T2IaR8zgvme4mTAojEfTXGGMK5QeNMUfQFZdu9ldfcjhmNvt2wv3vhMIfBzlB5whbW6euSSPlnnvuIV4hPLdFk2w7jTHnzcZ+mivEOdwzh2f2ncym3avYsv8Udh2ax96u+XT1N1IoxYlGitQm+jBSwHgRjmTa6MvXkssmKJSilEySQilCoSiUiOMNCOaKM1Sl2wK1U/Fjjp49T8AfPgTZSkvVTxS+9U0MiEO8UYu8pBerBV7broFusTpY+KaqEXNldgbCDCvolcR8LOc4qhDPg2IOEunpbsn0sWcb/P5dUHh0+HP9B3tjNT2XfCqJeTkzu5/OxRYzKZaiHO1tYMuB5fxp72k8uXMVOzsWsbtzPl09TfRkGjBiiBgPEynilZJ09jWSKyYoFmMUinFKfo50EZt/GBbx8Nrbw1GFScrXT2abrEs9qeVYE3MgNR8alkF6LkQbIVGraWeJObr+eM0SqFs8iW1yWEYcFCcivwXeYozpFpEPoxNJ3zLGjDUsctLZulWtqXR6luaKjgbPg/5D8OyPYPsPILMB8J/vp/4IXvCuaW3elLLzWXjoXVAcmwsyXcXjn1e+8pX8/Oc/p6GhgSuvvJJsNgtVqTqjI5Nr4UBXnK0HTuLJXaezefcqnutYxr4j8zja10R/rpZCMQLGIxIp4ZXAEMUQwyNO0YMSEcQXcI29Lk+rGqmQl0LnVdmv9volk3DTGJCCaC0kmzXdrGYZpBfogiiJel3CNNkGqbmQbFUxj1WzQ6huuhswKYwmyr3JF/MXAB8C/ge4Grh4Ulo2AZxyiqYk2OXs6urUumpt1UXqTz0VTj5Zz1u8WFfamQnl/YblmHjfBM/90M8pHaJa09MXzn5B3/4UPPRO8DaN+1bVHDje2dlJQ0MDjz76KFdffTVvfvObAWZ8jdKr730Ht/7xzzjQ3c7R3iZ682myhRTGi+DhIX6KlBDBlBJEiFJC8ABDzC66iTm2vnZYzId7DHpEyDG/rZ9l83tYs6qHb/2oHfUaCEuXwpo1Oo9vF4n1QtlaxgTvRfR9LKbPGfu/ZI/ZcqOJhH5ujJ5jz7fEYsG9wD8338OH5+VYe8YYf8nB3YEkROvVhZ5aqJHotUtV0BNNKtrpuSrcyTaIp4a9a3VRxaPycTAaQS+ISAy4CPiSMebHIjKW6gNThucFHSmX04pAe/dWPtd2onhcy/41N+tyeosWwemnw8qVcNpp+r6hoYqqCXke9OyFZ26Grd8F70mOjzwdjqFKM85gtm+G358PPDVBN1QBqOZSkPF4nGKxyLXXXsunPvUp3vWud/GFL3xhxj+9bnn4xTz07AspeHHf0jZAkQhFDBDx53NV1qOU/GNWvrVH2IInEBQ+GYwCLXUZTl+V5fmn51izNsqq05OsOK2N5talXPRnn+HPPvGvAOzcqdvEU+SYF21ExPgvtmCuaxjl98TQHPFGSLVBcjk0naxu8lSrHku0aLpZfA4kqzRuwDEqQf86sAF1tX/aPzZr/BbGqOjnckYaCmgAACAASURBVFrb9+BBePrp48+zS2KmUloqsLUVlixRK98K/8kna8H/CXfzF4vQuwXW/xD23gBsm+AvmAVsW6+WOFsm4GYJoAUaFkP3w8eOVrOg//Vf/zVr1qwhm83yxS9+0R6eUJ+TiLwe+Crqd/6OMeaLZZ+L//kbgX7gL40xj43nOw92tZPzEkQoEqeEwVMRlyiCUDRgBdv4cl86VkvcfjbcH85j0YICrz7H45WviLFqdROnnx6jtj56nFfm7He9Bz7Riz4CM/69R1PnfLIYifsoAdSrWKeX6NKj9SdB7QItt5puVQFPtGgd9VmJfTjvYBY4sI4xkjx0Mcr3ReRmoGSMyYjICuDB8DmT3djR0tioBfftA9i6sOySl9a9VRqFQet5wZJ6nZ2waxc8/vjAc6y1n0xqG+bOhWXL4E1vgksuGeEXZXvhyBPw2Leg+xfA0ZE38kTj2fvh4YuA5ybgZmmItkDDEmhYBTWL1LX42MPDXzqNGGMQES6++GLOO+88otEo6XSaLVu2APTBxPRTEYkC3wReC+wGHhaR24wxm0OnvQFY6W9nA9/2X8dMc7qDGIswCCIxxKgVXjLhfGc4vmLZ8CxYEOMD74/xlrcKq1bp1NzwF72Qs+Of5A+Fz3O8mJvQa/lxU+HzcEU1+1oqew1b6vmyfc/fTgOi3PHASt7wUptnLkA9JOdCzWJoOANaTteiLseEew7E6yE6eYVDSyXd4vFqGxDP4DjRCowoD90X8luNMWHH0k7ghyLyfTRX/XuT0L5xEYmoJR2e2xLRf6ry+a5IBAqF4BwRfV8qjV74w9Z+d7eK/qOPws03wzveURYl7XnQswP+dCdsvRp4fLDbOsI88yt45CJgkDmUUVEDsVZoPAnqT9OUm1SzBv3U+nOHj10+Ad8zeZxzzjmcd955nHvuuSxZEgRG+fsdE9hPXwRsMcZsAxCRG4FzgbCgnwtc6w8eHhKRJhGZb4zZN9YvzXr1GJIUETDhhT/CtcOHIkqwzraK9kc/Cp/+tHraxsJD3/sKew5eQ8mLkUzkSMYKJBNFYtESsZg+XCZHvGJAE7AY6tfCinfDspcjNWkgwxu/dSPmrZ/R8qpt66BuiVrj8Sad/54Gq/vIEX2e2meyDVSePnG3c6ZVG9M9JkYi6K8H3g/cICInAZ2o2z0K3AX8X2PMZFYsGDMRMpQMREQj3ayIGxMEmNh/KBENPgl/bl3mdh7e8/S8YjEQeRho8UPwWolPXLaba976YSjdzdT+MyWAWj+gpR1qlsLRw5D/1RS2YZxsvgnWXwYcGvbU4fGtlrqlULcKGpeotVK7RB+A6cWafjMAAaybtbq48847ueaaa7jgggt47rnnaGpqIpvNUtJRaAsT108XMrDKy26Ot74rnbMQGLOgd+XbKZIgEPBKShANbccTj6uH7Atf0AU5xs8iFs7dPY7r48B8iC6HtrUw/8XQ+jJoWzCOe6aBM+CcmydphbLRY6cxbYxSJgP9/fqMTac1ZmnqY5Ls/0hmqr94UhlJHnoW+BbwLb8wRSuQMcZ0TnbjxovXvxdBMEQwnqioixCTKJ7EIBrD4IeQGgHSAyJJPU9F3gq3jUKNRgOr3hh1rYdFH1T0raUP0Nenrzf9JM81b/rFJP3EtUC9LkFYuwQaVkLjab7b2E8lSTRBvEFTSnJ98NMxmidTxRP/DU/8LTqOHA8RdN5wHtSt0OUa6xbr76V2CdQu03zaYVNtqm5mCYBUKsVll13GZZddRqFQ4PDhw6TTaZqamhCRHRM46K6kpOW/lJGcg4hcClwKDPAqVKKUmEsg1oGlPRJe+1oV8T/7sxFfMjLeswt++hYQoyuGta2B5hfAnBXTnNuYxItNcODEOOjthd//XoX99NNh+XL99RSLKux9fUEwcjo9VVlGVtB7p+LLpoxRTZr4hSnGPMqeaurSGUqeuugMEUpGEBPBQxBP8AogkQiUDMViBDBERHzxj0NU8CSGkRgSifs5JnGMiRGPBy54K/xW7EHF31r0ARl6CuOpG5oA/EjUuqVQdxo0nwH1C1XEj82H1Q66YpH1QHglMNE6KMaIx4pw//3wspeNo21jxxjYuBG+/3245x7Yvh0+/+En+cTa543zznGgEeoXQd0pOripbdcVneqWasGLVMtoWzvONk0+8Xic+fPnT9btdwPhKiGLOH7eYyTnYIy5CrgKYN26dUP+YjPZ0UVur1kDV1wBb3nLJKcZvuPnk3jz0fHSl8IDD+j+ww/rqoDlXsOw93Ak0RTh51fYm1m+X75FIkFa3aFDKuiRCDz3HLS1qbCfcgrMmaP36e+Hri6dokynobZ2sq12O2o4OJlfMuWMZbW19wBvRaM1BPi5MeaGiW7YRNCdqdeMU989HomWiBiD53lEIoaYCCXJEyUKUkIiglCCaBSPPOLFKJkgKcaTCF4RwCMvgjERIhEBiVGSKBJL4EkMieoqQ9FotMK8u3D/hpW8bE2lxRESQLNa1PXLofEMaD4NU7MQk5yLF2/GxBswEsczwRSCdfd7HpT6/NeSzll5nk4JFAq65XL6vljU97Gn1/GSUx4hsfO1TIX7aetW+O534c47YdMmDS6sxN/8+1w+cd1YviEJcX/A07BaF4NIz9XlGWuW6Lx4bKzpB9USyTx6RORTxpgvTcCtHgZW+tNve9CFm95Tds5twOX+/PrZQNd45s9h4PrVg7F2LXzmM3DuuVWUVjqFfP/7wdK+n/88vO51OpiJRvX3Yfft3LXdTyTUAInH1dtoX23+ezhnPhIZOF1p98PTmeUDhY0b4YkntPaHiD5/Dh7UYzYdeN48jS3q7w9c8smkCntqUlLcq8V/MbGMJazxlcaYd9s3IvJNYEIEfbh0mNHieYLxNDe15AkigmfAmAgl5FixCR1sGgwRBE9TYkQoGUNEHfYQESJ4lIwh6vvaBVFLV4qIVyRSzCFA3tNzEfBKQjRmUGuxARA+dfO/8G+L91KqW05/ZAEFmUPONFAopckWE5R6omS2q+Bms4EYh4W4/NWYQMA9T4/bwUTRTzO3AX4DOt6Bf+Jf3/W3vOKMDeP5VR/HoUNwzTVw662wfr120tExmsCdBkjPh/pToOlMjVCvWarBbelFkBptXu7xVEphrGbe9a4BhYKWAx8Exi3oxpiiiFwO/BLtp9cYYzb51SMxxlyJrsL4RjR3sB8YaW7HoFQKSI1E4OUvh7/9W/iLvzgxRTzMyScH+3fcAfv2BYIcjw98tfvhzYp7Mqmf27ltK/D2s1RKP0skVHDr69WqtoMBO0CwXsvHHoOODhXtXE6fRzU1cPiwZgo9/bQORFat0nPa2vS519enwXSxmH5PTc1EBtFZt83mIc+aaYxF0JMi8iY06GURE1RyZ4TpMKOiUIrjeYJHBA9zzPUeQSipLU4QIVuW6uJb5seOeaHPSuH/KjskMOBZC84e8/S1GD4Pfr/1zZzzsZH/2sL/xOERcvhz6+IKHyu/Lnwv+76/cw1X/foSXnHGx0fcnjBdXWpx33STdtzRC/dgDDWCjgMtGpXefBa0rPIt8EWampNsmfDw2e9+1+55Q51WNTQ0NPCd73wHABHZhlrWE4Ix5nZUtMPHrgztG+AjE/V9oK7Zjg4t+PTOd8LHPqZuW8fg7NihYmiF1lrpicTAVyu+tjpd2CIvF2j73oq8PW6vT6X0uA12i8XUQu/uDrxxIjqvns+rUHd366D/2WdV2E89FRYsUGG3AXVdXdDTo9kJNTUTMc+uz4dX8Hngc+O9WdUwFkG/DHgH8DxUeCcqn2ck6TCjIuvVcXxOqoTqqE3EQ//4+w/Mia2MN0ZdGE3O/Mio46cPnYu5/OND/jZ6etTi/sEP1FWWn/QA/fIe2wg1J0PTamh/oQYhpReqC33U8+Cj56pd1sicGS73f/iHfyg/9JnpaMdEsXWrPsTHmmJ2InI0VLpCJLDKw8IbtrytUFthTyTUmi4WAzHPZoPUX1tvI3xfOxiw98jntTpnXx/s2aPPr9ZWrbYJ+lyJx/Xvmsvps+W55+Ckk9QVP3++DuYKBRX27m69prZWxX3swq4X/s27ZkZ/HimjWZzlz4EL0XDjJ4G70fXRcxPUlpGkw4yScJGJwSj/gw713gzxWl4YwlTY6hn5Kk5TR4Z27nrkefzFheri+vKX4frrNThtqrD5qfE4dHXZylvAoktg3qt0LrxmvqbcTUM6zlFW+3vV/QD49a9/zXXXXUdTUxOrV6/mzDPPBBB/ueMZSzWucDeTsFNyhYLOT1usC96KubWs0+kg8ty63j0vOA+0z9oUXnvfsMWfSunn+byK8PbtKujZLDQ16VZfr/c5ckS/s65O77Npk56/fLla7PPmqXemVFJh7+3VQcJ4hf3cc8f7m60uRmOh/xB1o8WAM4G3AWcwcQvLTniqy5qFjxCNFknGcqTiORLxPDWxDIl4gbraPuoTejwd76e+JkNNtI9kMkddOkM63kdNPEtdOkdtMkMyWqAu1Uc8ViKdzBONekQjxSCyM0KZmz7cdAE6yOeF5CWd6Fx6taDFKF7/nw/Af07et1grwD4s0ml9SNttzhzd5s2Dyy/3gAhy4RUYUy3uMBu0Xd0u9/e+971885vfpFgssnHjRn72s5+B9lOH4zisyNupspivCNZNbwXebta6t1tY+K2Fbsnng+JaxaK6zQsFnTefN08FubExEPdSKRD2hga9/skntU7+8uUaFd/eHgwEenoCYa+pCQYHI8MFxW0xxtzi7/9kEtoy4aku6//P2zk2jz1gbtti98tLNEromvJFHEpUdK8b0F+nLguhH0WC00qQSBh2famdr3dk2LxZR6D79+s//OS7sIdjqH+FSqUqS8f243HtgPW10NBoaG42zGkp0dbs0d5eZH5rnpbWEq3NHq0NWZqbStSkiySThli0hEiRiBgi/uvll5+MVsJ656T+xKNjrv9a3YK+YsUK3v72twPwznfq709EnpzONjmmjkWLYPc4at3YANpiUcWxt3fg/LmNPK+rCyLQbdU3GzAXDpxLpVR4QQU7n9dguO5unSNvb9fBRF+fWuDW9X7ggH5HU5N+vnGjxgScfLJuYWG3ot7fPxqLfeZmrAzFSGq5Xws8BjwoIp80xnx5ktoyknSYMWCD0+y+/UOWC3u07PywmNv98uvCx209ZV+9Tah0XOiaRYtq+NLfDd5aY/SfffNmDTLbsEGDRXbt0jmxnp6gRO3EE45oy5IgQ32qk7mNh5jftJ8FzQdZ2LqPhc17WNC0j3mNB5nb0EFjTR+16QzxaJFoVJeyjEQqdJZefxu2WusjqKCfTiZTbUvaVqegX3TRRZx11lm8+MUv5stf/jKf/OQnp7tJjmng3HPhm9+cmHvZjJlSKSiFbcX30KGBFnx9vYqpdZvb6bNSSZ9nlmJR72kzdKywt7bqfVta1GpvaFCB3rtX31vhXr9ehX3lSrXaW1tV2OvqJtYVP1MZiYX+fWANMA/4CxH5KLrq2gZgozFmQqz1wdJhxnfXLMEoLGyNW8G24h1+H+H4kVv4HkX/nDE+2Oe9eciPRfQf+MUv1m0w+vt1JL5xoy4Os3mz/qPv368urWx2ZIUjlCz3/e9zmNt0mDn13dSlMiTixWnrDBeu/jjXPXkXAL/7nbrabGpMKjVdndSWe53wqMQJ4eKLL2bDhg3s37+fX/7yl3zta19jzZo1rFmzBqB5utvnmBo++cmJE3SLTXG1tdhLpWD+PJ9XUT56VC15WxSmoUFfy/uqHRzY9S48TwcJR49qZHsup4Lc0KDinkoFIt3crCLd1aWFc7Zv1/n1JUt0us4Ke9gVX1enWzjpRZ+L01ZEflKR0S6+5K+Jfjoq8mcaY/7/yWjYSFi3bp155JEhlmS/vgr/aK/eBu0nTfrXeJ52tGefVcF/7DHd371bizr09wdu/ive+pd87n99f9LbNBrkwj6ghpe/XAuGrFsHq1frynXWKkilpm5xB5HNwEnAQYxZOjVfOg6KxSKbN29mw4YNXHTRRQeMMeMpUTjpDNuXHSOmuVkH9ZOFjZi3Ym3T1iBIq7U57ZGIGhqVsJHyNmo+kVBhbm9Xy7u+XreWFr1/T49666zQZ7N6/3nzNCJ+4UL92RMJHXz09ATn1NcHeeylEsRi/YDBXFcH75lZrncRedQYs67iZ1W46umImV5BL59HD28QBF1Yt30MUnPhHc9MYptGTqkU5HYuHY8+Wb+cV4RCDkwRyEEpD/kMFDJQ7Aevz3/NQikD+3dAthOy3ZA7AF4/ukRsBsgjF24CakmndV6wtVVTWdauhTPP1HzVcIBdcpIXkNKBQwbYgzETFQc6NQz1AKgWnKBPHMUi/Pa38K1vqYdrqCp71lq2A+PRykEsNjCNzdbEsAJvzNCDC1uxzua/24I2ra2asmbnyRsbVaxt+lpY6LNZ/f4lS9QVP2+eXheLBRH2uZyeW19vI/Vnp6BP3gK41UBikV9xJQqSBEkAMYjEIJoAiUO0xn+f0i2ShFgKonGQFERrIZqESELXDJaYv3ZwjV6frNN7x9J6XiyldeCJ6T2iseOrvFQB0ah2iJbxpnAfq3QTg8QoajSuGubzC/Ulk9ERfleXTids2gT33adVpc46S1/nzNEObefwJrV29yxbbtEx+4jF4NWv1s0YrcT29a/D7bdrLE64lkV4WemwCBszspoX4SA6m/5mTBBUZz8fDHuuFd9SSe0DGx3f3q5eub4+3ZqaVOwzGfU22ih5Ea1VsG8fLFumA/65c9V1P2dOcL9gcHGCBsXNaM7fNfw5jqrH1n6ORLQDd3bq/Nmjj2rHff7z1R2/cGEQYVtbO1lW++xabtExuxFRd7SdV9+yRS33n/5UxT28SqTdt5ayXV0SAmEerCBWOM89nNtePiiwHoFy7P1trfdSSY9lMtrf588PVmfLZII59u7uYM7dCvfmzRpMt3y5evXa2vR50Nam1x44cKzVY/mVVjWzW9AdswrP0+CZzk4NdOnu1s75xBM6bXDmmbrK1ooV2nHDNaBPtGhXh6MSK1bAV76ixaOeeEIt91/8Qr1fYfG2Fna4CpxdBCq8ZkQlynPbwySTwf0HuzbsYctmtY/39gb567YcbHOzingkos+Fvj613hsb1c2+caNWpzvlFB3sz5kTxN/MVpygO2YcxmiH7enRztncrB16yxZ48EF1w69dC2ecoZ/19ARWe2KsC60dY3atn+w4MRHRAfDVVwdz7v/xH7qKcq//L25Xaszng9XXrPUdXgTKCn2lldbKsfeKxVS8K7n1SyXdbOnZeDyYB+/qUmvd1nm30e8tLfp+/369//z5+h2HDumzYeFCHczMn6/ePi2oNfv6shN0R1XyvOepBTEc/f3BUos2unfPHs1XXbYMXvACvde8eWoxhOfaxxbWMLvWT3Y4wnPunZ26ZsN3vwvPPBNkwuRywbnheu92rt2u7hhe0dGmuIWxaWq2jrxNfatEPq+DCFtLPp9Xcc5mVdittR4uTNPWpp9t366W+rx5et2OHSrky5bp57MVJ+iOquSaa+CFLxz5+XZ0Ho1qx7bu+Kef1ujXM8/U7eSTg9zZmhoV98kNonM4Zg5NTfA3fwOf+ITGqPzHf8BddwULvVh3ebEYrKtuU9RsgJtd5nkocrmBa7DbYjPl2EGCrSUfjQYptz09GvjW3h7Mr/f3a/9vbNSKdL29ar23ten5f/qTzq8rbg7d4ZgS1q3ToJ33vlfdgSOlVNKO3NGhKSrWHf/ss/DQQ7rk5tq1+mpTYGwxjJG54x+lukrSTh0i8u/AW9BQ/63AJcaY45KSRGQ70INW4SlWe8qc43hEtA/eeKP2n6uvhu99T6e17By5DYCzUep22VR7rFRS69la6S99qYrrHXcMHBjYpV3t6myV3PaFQlAn3kbC2/t3dQXR8NmsirqNhs/n9VnQ06PntLTo3Loy+wTdhQo5qpZFi+A3v9EOevHFo3OR2xK6O3ZoOsvu3To6/+Uv1fq/8kq491614nt6dBBw6JA+IIaaB3wnX9J8+xOTu4HVxpgzgWeA/z3EuecYY9Y6MZ/5NDfD3/2dCuH//I+65mtr9bNCQUXUCqkNhLPer3CmyWc/C7feCjfcMLD2RaEQuPTtgKASxWJQXa5Y1OtsbfitW4O0taNH1QrfvVs/b2/XwcKuXfr55JXOnn6coDuqnnRarYNiEb70pdGvid3Xp517y5bg9f774Yc/hG98Qx9SW7aotX70aCDylaJ4P/wBoPfo8R+cABhj7jLGWGfqQ+gCSo4ThFgMXvc6uPtueOQReP/7A7G0KWa25KoNYguL8+tep4Py88/XNSo++EHt26DWdi6nAmxXdIsN4j+2AwA7d+95OqDYu1dFfcsWHZx3dGg8zd69OrCw+ew7d9o7OQvd4Zg2IhG1FLq7VYRHW+Eulws6/a5d8NxzWhb3xz+Gb39bX9ev107f1aXC3tk5cET/538OHHx6Qn+uGcr7gTsG+cwAd4nIo/5yx45ZhM1t/+//1sDVz35Wg82i0UBcMxkVZxsxX1s70MPW2Khu/Lvv1mwUS7Go/c+uvT7Uwkx2rt7O29so+O3bVdR37dL+e+iQivjhw+ptqJRON1twgu6YkbzpTdpxn3126EVsKlEsasTr1q0q6tu3w1NPwW236UPqmms0/e3IEbU0jiuduetXE/RTVB8ico+IPFlhOzd0zmfQVYquG+Q2LzXGnAW8AfiIiLxikO+6VEQeEZFHDg1Vn9RRtbS1wRVXqDv+29/W2JRkUq3n/v5g/vxlL6t8/UtfqsF3n/2sFoexWIGORoO12Sth891t8Jy97uBBjdLfskXd7HaAvmuXWu2zFSfojhnNihXw+9+rJXDBBaO71taZ3rEDtm1Td/zTT8OvfqVpO1ddBffcow8E/wp9OfiHifwRqgpjzGuMMasrbLcCiMjFwJuBC80gC0EYY/b6rweBW4AXDXLeVcaYdcaYdW1tbZPzAzmmhPp6+NCHdBGo666Ds88eWMDlU58a/NpkEr7wBfjjH+ElLwkscjso8LxgqdbB4mjy+aDgjV2aNZNRy/zpp3XgfviwDtKD/lydSyGPByfojllBbS1cf70+BK64QivJjYaeHu38Vtife06t9Ouv11KZAxlBgvwsREReD3wKeKsxpn+Qc2pFpN7uA68Dnpy6Vjqmk2QSzjsPHngAfvYzeNWr1IP2qlcNf+2pp+piMl//us53W3K5gUFzyWRlYS8W1d1fKgVR+MWixsXYoLmK1vkMXqCsHCfojllFJAKf+5wK9E9+omssj4ZMRjv91q1quW/frvPqA9lX4coTgm8A9cDdIrJeRK4EEJEFInK7f047cL+IbAD+CPzCGHPn9DTXMV1Eo/Da16q36777Rp6hEonAZZdpnzv33CCV1Kao2fS1VGrw+hG2up0V9lJJhX7/frXWA3wh7z8ApdkR+u7y0B2zlvPP1+2pp+B979O5upFSKOg83OHDGsCjzJ6R/Fgwg6wb67vY3+jvbwPWTGW7HNXLscUYR8n8+XDLLZrm9olP6MAaAre6zXu3ol2ekWIr0sXjQdU6ezzA7897fgGJWog1QmoOJFoh2QbxGojMrKpTzkJ3zHpWrdI0m6NH4W1vG921dkEYh8MxtYhof12/XufnB0tx0/XNK9/D5slb4c9VKiGRmAtEIbsfjmyAA/fCrpth509h/71wZD307YFiturd885Cd5wwNDXpqL9Q0Kja//zPQTr4SNjzS4jVQKwWYnW6xeshmoRIfKyF4h0ORxmNjRqgevHFcOmlujwq6Px4b28g6Lbee7m1boyKui01G+CfeOQJaDkV6k4CEwOTh1Kfbj3bwHhABKJxSDRCYg4k50BqLsQb9HiV4ATdccIRj8MXv6jbddfBJz8ZXiN5KEKj89xB6C9qZxeAiIp4JKlCH03ra7wOolbw6yCWAok6wXc4RolNcfvnf9bAue5uFWtbwMbWhQ8XnAljy9Eex9P/BXUtkGqD2sWQWgy183U/vUj7eCkHxR7Id0PGX6BJYhBPQ6wJ0r6rPtGq7nuZHue3E3THCc2FF+r2+OM6z75p0wgvrFupwoyAKUIpA6UseFnwMlDo9NeVDAl+JALRlG7xOojWBNZ9tA4SdRBJ6MPACb7DcRyplAr6hRfCBz4Af/hDkKpWKKigJxIDrfWwl3ygx9xXfJOFTAdkDkHXUyBxv482Qs18SC6AhqVQuwDSCyCSAlPQPl/shew+yOzW8X4kpn07Oce35Ft1P5qYkj7tBN3hAJ7/fHjySS0i85d/CbffPswFz16tQTTJJj+QpklH6vFm7dTRBBDVJ4iXU6EvZaGUh2IGCl1QKgJGHwQS0QCcWMq37ut8d34NxOoh1qD7kdiMC9RxOCaaVas0xe3KKzWrpaNDj9uSsLZ8rC02U6mMc5CHngXi2reI+Iu990C+F/p26vH9cYjWqsu9fimkF0LNEkgtVFc9Me3bXh+UenxX/VZAIJZQ13yyTcU92QaJBv/7JhYn6A5HiLY2+MUv9MHw93+vrr2g9GtoeL//V4Co2y0S17lzK8QJX+jjc/z9Vkg2qCinWkASfmeOAiUV/FJWg25KOcj1QO6oWv7HvlL0e2K+Kz+W9oW+FupPGVsoscMxg4lG4SMfgbe/Hf7qr+DOO49fxS2R0GC6bPZ4az0Q9G4o5tD+GPUt9KTvLYvpaaUiFI9A/ij0btdBdSSp1nh6HtQsgPRiqF2k+6ka9cyVsr6rvktd9SL6HfG0b8G3+CI/15+OG18/rgpBF5ErgA8Btv7j3xtjhrORHI5JI5mEL39Zt6uv1mI1q2p/EpwQSYNnfAvct7qlC7W4Pb9j+oIfTamAx2p0pJ5ogniT35EbId4CyWZ9OMQb9EFirQVT8t35OXXll/KQOwLZkrr9JAoNp07PL8nhqAIWLNCyzTfdpPEwu3bpcZvOFp5bH5jiZtcZCg2ufNhcEgAADeNJREFUKWpQXLEPVeQIar0nQFK+d0z8efUMFPqgbx/IBh0ExNLqqk/Pg9qlKvC1i6FmkbrqKUChX131/bt0cGAH64l6aDgdmk4b8++iKgTd5/8aY/5juhvhcJTzoQ/pxvUfCA5mDmp0q41oj8SBWGiezH/1Sv7DAbW6ZY8+USKi50ei2tFjCbXwE02QaPa3FrXo4w0Qa9E59kTCF/yoWu9m9pWvdDhGiwi8851azObjH9eFlsI13uNxdcGLqLWuWNdbCRX0BGqOG3/z/C2jg2m6oOQPtIlDLOl76JLa3b0i5LrVGu/bCUceBkmqFy3VCrULIb0U6nxrPtWuA/JiDkq9UOrWqblxUE2C7nDMIDJQ6odS2EXmu9OI6Gs0FgS5RRNAHDAh690E1kChF8TTBwH49/Cvs+6/WIPOvSWbda4+2azu/ObnD77WpMNxAtHUpEstX3KJuuFtZThbMc5WngOoxS67ZoA8QVkW24+jaJ+1g+aiv18EClDs988VIKGD+ogv8hIFI9q/sznIHoLup32PXVoH6el5Ohdftxhql2jAXbx5XD9/NT0FLheRi4BHgE8aY1w5D0eV0Q7Y/LY0wQjeTszZzu7vl9ANG8Rmxd664mP+CD/qW/q+tW/Ev6WnbvV8zv+Og74733cFWnf+wveMvni9wzGLeeUrdaGYz35Wc9h7e4OlXS0ttR2hKwoc86odc7XDsf5qrXI1xUOvJQIrPqvBdMf6eUwH4zbOhoh67LxuyPeoy10e82Nw6nSwvuh8eN5Hx/xzT5mgi8g9wLwKH30G+DbwT+hT65+AL6PrLVe6z6XApQBLliyZlLY6HJVZSSDoVrij6L9tDPDnzg3+sSJ+ZEzoGl/8jYFi+MFh7xW27uM60o/EAF/sJRK42b2Szqk769zhOI6aGo2Bed/74P3vhw0bBka7L27ZHTq70tSVnVe3Ql9uwfuibb1pFAn6eBHIqxcvbPEfC7hL6r5nNOCudBTyR6DjkXH9zFP2JDDGvGYk54nI1cD/DHGfq4CrANatW1fddfgcs4vYa6B4v/8m779K6L2AiaAPB9vJfXcc+MejeshY892O9O1DwB/9l0zInW+/o4I7PxIfpFqGw+EAWLtW89W/8hUtJtXZqcdPX7xlmCvL+5XtzxD0Wb8/DrDiTeg8Q+CqKw+481360YTOtUd8wR8HVZHrIiLzQ2/fjltu0VGNnH5e6E2WY6NwCv6r3Tz/WBbIAf1Axv8sAybnX+s/ICJJIAmkQWr1lRQ63rYWAKHv64NSFxQOQ+6QE3SHYxjicV2T/dFH4dWvhpYWuPScnwx/4QCsi72E9u9iaD+P9nXb5/MEA/QY2p9TaD+3fboE9EOpE4oHIH8QereN6+esFl/d/xGRtehwZjvwV9PbHIejAqtXw8bwgeJgZxKM5q0Vbjc7ercuOjTtzX5uwtcO5c4v+OcZ53J3OEbI8uVw111aQKq9+9/h4UuAg+O4Y/lg2vbzSGg/T+BdsxsE1ryNqLfz8WOnKp4Expj3TXcbHI6JZbiOGe70EHT0sLtuKHd+zD/XudwdjtEQiUB7O9D+Rlh5APJ90LUVtl0Pu++A3LNwLAJ+tIQF2hIlCKQL9237DLBu+xhE68f4vUpVCLrDceJh59YGw0bGl0feWledHfUXpmxJx5EWgBKR1wNf9Rv4HWPMF6ekgQ7HWEjUQtuZup39RY2cyx2Bnb+DHT+Aw48AuxlQKXJUVOrn4f4d2ko9Y/wOxQm6wzEaUmsh+xQ6TzaZDCX2YXd+ROtcTh1DFoASkSjwTeC16FPwYRG5zRizeaoa6HCMi0gE0q1w6tt1A8hnoX83bLsZdt4C/ZuA3nF8ySABd4WxegYUJ+gOx2h4x+OaLlbo1cpvh/4EHQ9Ax2PQ+ywUDgF+CdhJo8ydP+ZF3SeFFwFbjDHbAETkRuBcwAm6Y+aSSEFiBZz1Kd08D3JdsO9x2PkDOHAflHYw9EB8KPw+3T+idZwHxQm6wzFaIlGtwZ5shIZlcPLrB35ezEPBXzf54CNw4AHoelJH+N5hNOp9ApnaOfThCkAtBHaF3u8Gzp6qxjkcU0IkAulmWP7nugGUClrXfdvPYfdN0P0kcHiUNx5fPTUn6A7HRBNLQKxV3XYtp8NpFwWfeV6wfOrR7XDoATj8R+h+BnJ7Ueu+MMiNB6Gvb8KaPgEFoCot+lzRXeGKRDlmFdE4NCyBtR/RDbS2+5EtsPVa2H835LcQ1LCohJtDdzhmDpGIBuEkaqF2ASx6ycDPvaKu4JQ9DPufgM4HoeNx6H0OigfRDl+mj8uXT1jzJqAA1G5gcej9ImDvIN/likQ5ZjfJBph/lm6g03WZQ7DrXthxPXQ8TFB9EoJgubHhBN3hqCYiscCd33gy8LaBnxdyUOyG3v2w/wHofkqrZkwBIjLfGLPPfztYAaiHgZUichKwB3g38J4paaDDUe1EolA7D067QDeAfD90b4ftP4HEonHd3gm6wzGTiCch3gbpNmh73lR/e8UCUCKyAE1Pe6MxpigilwO/RM2Na4wxm6a6oQ7HjCFRA62nQ+vnxn0rJ+gOh2NEDFYAyhizF3hj6P3twHH56Q6HY3KpilruDofD4XA4xocTdIfD4XA4ZgFipqhs5GQgIoeAHcOc1srokwEnG9em4am29sDMbdNSY0zbVDRmrLi+PKG4No2MmdqmQfvzjBb0kSAijxhj1k13O8K4Ng1PtbUHXJumm2r8WV2bRoZr08gYb5ucy93hcDgcjlmAE3SHw+FwOGYBJ4KgXzXdDaiAa9PwVFt7wLVpuqnGn9W1aWS4No2McbVp1s+hOxwOh8NxInAiWOgOh8PhcMx6Zq2gi8jrReRpEdkiIp+e7vYAiMg1InJQRCrVwJ5yRGSxiNwrIk+JyCYR+VgVtCklIn8UkQ1+mz4/3W2yiEhURB4XkUqLkkw5IrJdRJ4QkfUi8sh0t2cyqbb+XG19GaqvP7u+PHImqi/PSpe7iESBZ4DXoqs/PQxcYIzZPM3tegXQC1xrjFk9nW3x2zMfmG+MeUxE6oFHgbdN5+9JRASoNcb0ikgcuB/4mDHmoelqk0VE/gZYBzT8v/buL1SKMg7j+PehjE4WSWQRWp0M8aIIKxHEiKiIMquLgooMLyIv1IsI+iMF3QaRdJGVZheSkUQWhFEp/aGUKDEsEIXKDKVAIkIrqTw+Xey7tqTmOcfVmWaeDxzY3TM781vYZ3/zzu7Ma3t2DerZAUyzXbdzafuqjnmuW5ahfnlOlkdUzw76kOWmjtCnA9/Y3m77T2AVcFvFNWH7Y+Dnquvosv2j7S/K7b3AVmBCxTXZ9q/l7pjyV/lep6SJwM3A8qpraaHa5bluWYb65TlZPvGa2tAnADt77u+i4kZVd5IGgcuBz6qt5ODhsM3AbmCd7cprAp4BHgYOVF1IDwNrJW2SNK/qYo6j5HmE6pLnZHnY+pLlpjZ0HeaxyvcM60rS6cBq4AHbe6qux/aQ7anARGC6pEoPaUqaDey2vanKOg5jpu0rgJuABeUwcBMlzyNQpzwny8PWlyw3taHvAs7vuT8R+KGiWmqtfLe1GnjF9htV19PL9i/AR8CNFZcyE7i1fM+1CrhW0spqSzo4bSm2dwNv0jk03UTJ8zDVNc/J8n/rV5ab2tA3ApMlXSTpFOAu4K2Ka6qd8qOVl4CtthdXXQ+ApPGSxpXbA8D1wLYqa7K9yPZE24N03ksf2J5TZU2SxpYfPiFpLHADUJtfXPdZ8jwMdctzsjw8/cxyIxu67f3AQuA9Oj8Mec32lmqrAkmvAp8CUyTtknRfxSXNBO6ls5e6ufzNqrim84APJX1F54N8ne1anFpSM+cC6yV9CXwOvG373YprOi7qmOcaZhnql+dkeXj6luVGnrYWERHRNo0coUdERLRNGnpEREQDpKFHREQ0QBp6REREA6ShR0RENEAaekRERAOkoUdERDRAGnocQtKgpH1lUoXuY0PlQhVbyvzGD0oa1ftH0jhJ8/+1vUOujCRpoGzzT0lnj+7VRLRb8tweaehxJN+WSRW69tmeavsSOvNSzwKeGOW6xwHzj7aQ7X2lhly3O+LYJM8tkIbeUpLmlqn6vpL0yUieWyYQmAcsVMccSZ+Xve+lkk4q2xiUtE3SirKd1yWdBjwJXFyWf6qs9iRJL5YRw9py7eeIGIbkOSANvZXKRACPADNsXwbcMtJ12N5O5/1zNXAnnen/pgJDwD09i04BlpXt7KGzJ/8oZcRg+6Gy3GRgSRkx/ALcPqoXF9EyyXN0paG30xAwADwtaVqZ2nA0BFwDXAlsLN/RXQdM6llmp+0N5fZK4KojrOs7293v+DYBg6OsKaJtkucA4OSqC4gTz/bvki6lsye/TNJy28+NZB2SJtH5IPkZWGF70ZE2d5T7XX/03O5+QEXEUSTP0ZURegtJmmz7N9urgDXAqSN8/njgBeBZ4H3gDknnlP+dJenCnsUvkDSj3L4bWA/sBc44xpcRESTP8Y+M0NvpsRLK34AtwP3DeM5AOQQ3BtgPvAwstn1A0uPA2nLay1/AAuD78rytwFxJS4GvgefLiGJDObXlHWBJP19cRMskzwFkPvQ4DEmDwBrbl9ZkPTuAabZ/Opb1RLRR8tweOeQehzMEnNl7IYoqdC9EQWcUcaDKWiL+x5LnlsgIPSIiogEyQo+IiGiANPSIiIgGSEOPiIhogDT0iIiIBkhDj4iIaIA09IiIiAZIQ4+IiGiANPSIiIgG+Bs+58T1SoVCjwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the depth domain\n",
    "plot_2D_depth_trajectory(tot_s_span, trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in the state-space\n",
    "plot_2D_state_space(trajectory, yn, len(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trajectories in space-depth\n",
    "plot_2D_space_depth(tot_s_span, trajectory, yn, len(X))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  },
  "latex_envs": {
   "LaTeX_envs_menu_present": true,
   "autoclose": false,
   "autocomplete": true,
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
    "itemize": "Ctrl-I"
   },
   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
